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131141112111240 = 233572112027537293
BaseRepresentation
bin11101110100010110101011…
…011001110010000010001000
3122012022222010120202200211020
4131310112223121302002020
5114142103444200024430
61142525221210432440
736423430003464600
oct3564265331620210
9565288116680736
10131141112111240
11388706a6a43960
1212860039132720
1358237279441aa
142455399805c00
1510264344aab10
hex7745ab672088

131141112111240 has 192 divisors, whose sum is σ = 499260783274560. Its totient is φ = 27250101204480.

The previous prime is 131141112111223. The next prime is 131141112111241. The reversal of 131141112111240 is 42111211141131.

It is a super-3 number, since 3×1311411121112403 (a number of 43 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131141112111240.

It is not an unprimeable number, because it can be changed into a prime (131141112111241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1013703967 + ... + 1013833326.

It is an arithmetic number, because the mean of its divisors is an integer number (2600316579555).

Almost surely, 2131141112111240 is an apocalyptic number.

131141112111240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141112111240 is an abundant number, since it is smaller than the sum of its proper divisors (368119671163320).

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

131141112111240 is a wasteful number, since it uses less digits than its factorization.

131141112111240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2027537332 (or 2027537321 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 24.

Adding to 131141112111240 its reverse (42111211141131), we get a palindrome (173252323252371).

The spelling of 131141112111240 in words is "one hundred thirty-one trillion, one hundred forty-one billion, one hundred twelve million, one hundred eleven thousand, two hundred forty".