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321113212331130 = 23359209129146291
BaseRepresentation
bin100100100000011001111111…
…0111101000010010001111010
31120002222010022212210211021000
41021000303332331002101322
5314042104324324044010
63054541212342025430
7124431443515300242
oct11100637675022172
91502863285724230
10321113212331130
1193353391a5847a
1230021a85118276
1310a23acc84971b
145941d68b98b22
15271cd5908a7c0
hex1240cfef4247a

321113212331130 has 64 divisors (see below), whose sum is σ = 856394891510400. Its totient is φ = 85620890759040.

The previous prime is 321113212331029. The next prime is 321113212331147. The reversal of 321113212331130 is 31133212311123.

321113212331130 is a `hidden beast` number, since 3 + 2 + 1 + 1 + 1 + 321 + 2 + 331 + 1 + 3 + 0 = 666.

It is a super-3 number, since 3×3211132123311303 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 321113212331094 and 321113212331103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62086716 + ... + 67059575.

It is an arithmetic number, because the mean of its divisors is an integer number (13381170179850).

Almost surely, 2321113212331130 is an apocalyptic number.

321113212331130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

321113212331130 is an abundant number, since it is smaller than the sum of its proper divisors (535281679179270).

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

321113212331130 is a wasteful number, since it uses less digits than its factorization.

321113212331130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129155516 (or 129155510 counting only the distinct ones).

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

Adding to 321113212331130 its reverse (31133212311123), we get a palindrome (352246424642253).

The spelling of 321113212331130 in words is "three hundred twenty-one trillion, one hundred thirteen billion, two hundred twelve million, three hundred thirty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 9209 18418 27627 46045 55254 82881 92090 138135 165762 248643 276270 414405 497286 828810 1243215 2486430 129146291 258292582 387438873 645731455 774877746 1162316619 1291462910 1937194365 2324633238 3486949857 3874388730 5811583095 6973899714 11623166190 17434749285 34869498570 1189308193819 2378616387638 3567924581457 5946540969095 7135849162914 10703773744371 11893081938190 17839622907285 21407547488742 32111321233113 35679245814570 53518868721855 64222642466226 107037737443710 160556606165565 321113212331130