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120100344312320 = 295193929628447
BaseRepresentation
bin11011010011101100001010…
…010111000011001000000000
3120202020110222111022020220022
4123103230022113003020000
5111220211001120443240
61103233200403433012
734203651330600521
oct3323541227031000
9522213874266808
10120100344312320
11352a42a739a249
1211578302385768
13520254c3807c8
142192c5db1a848
15dd4143c039b5
hex6d3b0a5c3200

120100344312320 has 160 divisors (see below), whose sum is σ = 303192726566400. Its totient is φ = 45500053487616.

The previous prime is 120100344312241. The next prime is 120100344312343. The reversal of 120100344312320 is 23213443001021.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 120100344312320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190792337 + ... + 191420783.

It is an arithmetic number, because the mean of its divisors is an integer number (1894954541040).

Almost surely, 2120100344312320 is an apocalyptic number.

120100344312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100344312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151596363283200).

120100344312320 is an abundant number, since it is smaller than the sum of its proper divisors (183092382254080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120100344312320 is an equidigital number, since it uses as much as digits as its factorization.

120100344312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632418 (or 632402 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 120100344312320 its reverse (23213443001021), we get a palindrome (143313787313341).

The spelling of 120100344312320 in words is "one hundred twenty trillion, one hundred billion, three hundred forty-four million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 512 608 640 760 1216 1280 1520 2432 2560 3040 3929 4864 6080 7858 9728 12160 15716 19645 24320 31432 39290 48640 62864 74651 78580 125728 149302 157160 251456 298604 314320 373255 502912 597208 628447 628640 746510 1005824 1194416 1256894 1257280 1493020 2011648 2388832 2513788 2514560 2986040 3142235 4777664 5027576 5029120 5972080 6284470 9555328 10055152 10058240 11940493 11944160 12568940 19110656 20110304 23880986 23888320 25137880 38221312 40220608 47761972 47776640 50275760 59702465 80441216 95523944 95553280 100551520 119404930 160882432 191047888 191106560 201103040 238809860 321764864 382095776 402206080 477619720 764191552 804412160 955239440 1528383104 1608824320 1910478880 2469168263 3056766208 3820957760 4938336526 6113532416 7641915520 9876673052 12345841315 15283831040 19753346104 24691682630 30567662080 39506692208 46914196997 49383365260 79013384416 93828393994 98766730520 158026768832 187656787988 197533461040 234570984985 316053537664 375313575976 395066922080 469141969970 632107075328 750627151952 790133844160 938283939940 1264214150656 1501254303904 1580267688320 1876567879880 3002508607808 3160535376640 3753135759760 6005017215616 6321070753280 7506271519520 12010034431232 15012543039040 24020068862464 30025086078080 60050172156160 120100344312320