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130312012313032 = 231123220871341293
BaseRepresentation
bin11101101000010010100001…
…001101000011000111001000
3122002101201002012020001011121
4131220102201031003013020
5114040013000123004112
61141052302332405024
736306506100462664
oct3550224115030710
9562351065201147
10130312012313032
11385810177a6060
1212747411316774
1357934a6c69c14
1424271c68058a4
15100eaab60b407
hex7684a13431c8

130312012313032 has 96 divisors (see below), whose sum is σ = 278773901138880. Its totient is φ = 56630206666880.

The previous prime is 130312012313027. The next prime is 130312012313129. The reversal of 130312012313032 is 230313210213031.

It is a junction number, because it is equal to n+sod(n) for n = 130312012312988 and 130312012313006.

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 23 ways as a sum of consecutive naturals, for example, 96483378 + ... + 97824670.

It is an arithmetic number, because the mean of its divisors is an integer number (2903894803530).

Almost surely, 2130312012313032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130312012313032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139386950569440).

130312012313032 is an abundant number, since it is smaller than the sum of its proper divisors (148461888825848).

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

130312012313032 is a wasteful number, since it uses less digits than its factorization.

130312012313032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343443 (or 1343416 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 130312012313032 its reverse (230313210213031), we get a palindrome (360625222526063).

The spelling of 130312012313032 in words is "one hundred thirty trillion, three hundred twelve billion, twelve million, three hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 529 1012 1058 2024 2087 2116 4174 4232 5819 8348 11638 16696 22957 23276 45914 46552 48001 91828 96002 183656 192004 384008 528011 1056022 1104023 1341293 2112044 2208046 2682586 4224088 4416092 5365172 8832184 10730344 12144253 14754223 24288506 29508446 30849739 48577012 59016892 61699478 97154024 118033784 123398956 246797912 339347129 678694258 709543997 1357388516 1419087994 2714777032 2799278491 2838175988 5598556982 5676351976 7804983967 11197113964 15609967934 22394227928 30792063401 31219935868 61584126802 62439871736 64383405293 123168253604 128766810586 246336507208 257533621172 515067242344 708217458223 1416434916446 1480818321739 2832869832892 2961636643478 5665739665784 5923273286956 11846546573912 16289001539129 32578003078258 65156006156516 130312012313032