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101320301023320 = 233519221320080763
BaseRepresentation
bin10111000010011001111000…
…100011010001000001011000
3111021202010101222121211010110
4113002121320203101001120
5101240012434030221240
6555253523111444320
730225102340521561
oct2702317043210130
9437663358554113
10101320301023320
112a313775570695
12b4446779866a0
13446c6040b3802
141b03d00641168
15baa890ac2c80
hex5c26788d1058

101320301023320 has 128 divisors (see below), whose sum is σ = 320103442771200. Its totient is φ = 25585139833344.

The previous prime is 101320301023283. The next prime is 101320301023321. The reversal of 101320301023320 is 23320103023101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101320301023321) by changing a digit.

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, 4994742 + ... + 15086021.

It is an arithmetic number, because the mean of its divisors is an integer number (2500808146650).

Almost surely, 2101320301023320 is an apocalyptic number.

101320301023320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101320301023320 is an abundant number, since it is smaller than the sum of its proper divisors (218783141747880).

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

101320301023320 is a wasteful number, since it uses less digits than its factorization.

101320301023320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20083009 (or 20083005 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101320301023320 its reverse (23320103023101), we get a palindrome (124640404046421).

The spelling of 101320301023320 in words is "one hundred one trillion, three hundred twenty billion, three hundred one million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2213 2280 4426 6639 8852 11065 13278 17704 22130 26556 33195 42047 44260 53112 66390 84094 88520 126141 132780 168188 210235 252282 265560 336376 420470 504564 630705 840940 1009128 1261410 1681880 2522820 5045640 20080763 40161526 60242289 80323052 100403815 120484578 160646104 200807630 240969156 301211445 381534497 401615260 481938312 602422890 763068994 803230520 1144603491 1204845780 1526137988 1907672485 2289206982 2409691560 3052275976 3815344970 4578413964 5723017455 7630689940 9156827928 11446034910 15261379880 22892069820 44438728519 45784139640 88877457038 133316185557 177754914076 222193642595 266632371114 355509828152 444387285190 533264742228 666580927785 844335841861 888774570380 1066529484456 1333161855570 1688671683722 1777549140760 2533007525583 2666323711140 3377343367444 4221679209305 5066015051166 5332647422280 6754686734888 8443358418610 10132030102332 12665037627915 16886716837220 20264060204664 25330075255830 33773433674440 50660150511660 101320301023320