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2313301323120 = 243531136784449
BaseRepresentation
bin100001101010011011100…
…000001110110101110000
322012011000221120002210020
4201222123200032311300
5300400120114314440
64530414351403440
7326062522545204
oct41523340166560
98164027502706
102313301323120
1181207a320007
123143bbb23580
1313a1b3006a78
147dd70396b04
15402932ae3d0
hex21a9b80ed70

2313301323120 has 160 divisors (see below), whose sum is σ = 7213981132800. Its totient is φ = 613214085120.

The previous prime is 2313301323119. The next prime is 2313301323149. The reversal of 2313301323120 is 213231033132.

It is a super-3 number, since 3×23133013231203 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 27350656 + ... + 27435104.

It is an arithmetic number, because the mean of its divisors is an integer number (45087382080).

Almost surely, 22313301323120 is an apocalyptic number.

2313301323120 is a gapful number since it is divisible by the number (20) 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 2313301323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606990566400).

2313301323120 is an abundant number, since it is smaller than the sum of its proper divisors (4900679809680).

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

2313301323120 is a wasteful number, since it uses less digits than its factorization.

2313301323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85143 (or 85137 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 2313301323120 its reverse (213231033132), we get a palindrome (2526532356252).

The spelling of 2313301323120 in words is "two trillion, three hundred thirteen billion, three hundred one million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 311 367 622 734 933 1101 1244 1468 1555 1835 1866 2202 2488 2936 3110 3670 3732 4404 4665 4976 5505 5872 6220 7340 7464 8808 9330 11010 12440 14680 14928 17616 18660 22020 24880 29360 37320 44040 74640 84449 88080 114137 168898 228274 253347 337796 342411 422245 456548 506694 570685 675592 684822 844490 913096 1013388 1141370 1266735 1351184 1369644 1688980 1712055 1826192 2026776 2282740 2533470 2739288 3377960 3424110 4053552 4565480 5066940 5478576 6755920 6848220 9130960 10133880 13696440 20267760 26263639 27392880 30992783 52527278 61985566 78790917 92978349 105054556 123971132 131318195 154963915 157581834 185956698 210109112 247942264 262636390 309927830 315163668 371913396 393954585 420218224 464891745 495884528 525272780 619855660 630327336 743826792 787909170 929783490 1050545560 1239711320 1260654672 1487653584 1575818340 1859566980 2101091120 2479422640 3151636680 3719133960 6303273360 7438267920 9638755513 19277511026 28916266539 38555022052 48193777565 57832533078 77110044104 96387555130 115665066156 144581332695 154220088208 192775110260 231330132312 289162665390 385550220520 462660264624 578325330780 771100441040 1156650661560 2313301323120