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131001324011340 = 22354243514578223
BaseRepresentation
bin11101110010010100011111…
…011000011111111101001100
3122011211121022111210110100220
4131302110133120133331030
5114132311202421330330
61142341102154351340
736410350634315046
oct3562243730377514
9564747274713326
10131001324011340
1138817393230472
1212838b2642b550
1358134aac44b93
14244c6d83b6a96
1510229a2194710
hex77251f61ff4c

131001324011340 has 48 divisors (see below), whose sum is σ = 366890157086208. Its totient is φ = 34925453083584.

The previous prime is 131001324011287. The next prime is 131001324011401. The reversal of 131001324011340 is 43110423100131.

It is a happy number.

It is a super-2 number, since 2×1310013240113402 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131001324011340.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257034532 + ... + 257543691.

It is an arithmetic number, because the mean of its divisors is an integer number (7643544939296).

Almost surely, 2131001324011340 is an apocalyptic number.

131001324011340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001324011340 is an abundant number, since it is smaller than the sum of its proper divisors (235888833074868).

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

131001324011340 is a wasteful number, since it uses less digits than its factorization.

131001324011340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514582478 (or 514582476 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131001324011340 its reverse (43110423100131), we get a palindrome (174111747111471).

The spelling of 131001324011340 in words is "one hundred thirty-one trillion, one billion, three hundred twenty-four million, eleven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 4243 8486 12729 16972 21215 25458 42430 50916 63645 84860 127290 254580 514578223 1029156446 1543734669 2058312892 2572891115 3087469338 5145782230 6174938676 7718673345 10291564460 15437346690 30874693380 2183355400189 4366710800378 6550066200567 8733421600756 10916777000945 13100132401134 21833554001890 26200264802268 32750331002835 43667108003780 65500662005670 131001324011340