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1331031113460 = 2232552971396001
BaseRepresentation
bin10011010111100111101…
…000101111111011110100
311201020121211212100100200
4103113213220233323310
5133301422431112320
62455244532040500
7165110122535046
oct23274750577364
94636554770320
101331031113460
1147353a400004
12195b67763130
1398691ca1439
14485ca91da96
1524953329290
hex135e7a2fef4

1331031113460 has 72 divisors (see below), whose sum is σ = 4038226153416. Its totient is φ = 354874368000.

The previous prime is 1331031113411. The next prime is 1331031113473. The reversal of 1331031113460 is 643111301331.

1331031113460 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 0 + 311 + 1 + 346 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 658804942224 + 672226171236 = 811668^2 + 819894^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255460 + ... + 1651460.

It is an arithmetic number, because the mean of its divisors is an integer number (56086474353).

Almost surely, 21331031113460 is an apocalyptic number.

1331031113460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331031113460 is an abundant number, since it is smaller than the sum of its proper divisors (2707195039956).

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

1331031113460 is a wasteful number, since it uses less digits than its factorization.

1331031113460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401313 (or 1401308 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 1331031113460 its reverse (643111301331), we get a palindrome (1974142414791).

The spelling of 1331031113460 in words is "one trillion, three hundred thirty-one billion, thirty-one million, one hundred thirteen thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5297 10594 15891 21188 26485 31782 47673 52970 63564 79455 95346 105940 158910 190692 238365 317820 476730 953460 1396001 2792002 4188003 5584004 6980005 8376006 12564009 13960010 16752012 20940015 25128018 27920020 41880030 50256036 62820045 83760060 125640090 251280180 7394617297 14789234594 22183851891 29578469188 36973086485 44367703782 66551555673 73946172970 88735407564 110919259455 133103111346 147892345940 221838518910 266206222692 332757778365 443677037820 665515556730 1331031113460