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131001341114040 = 23351091677842617
BaseRepresentation
bin11101110010010100100000…
…011001101111011010111000
3122011211121100200222100212020
4131302110200121233122320
5114132311221311122130
61142341104005114440
736410351232556125
oct3562244031573270
9564747320870766
10131001341114040
11388173a1951a31
1212838b300b8a20
1358134b1652617
14244c6da78974c
1510229a3921e10
hex77252066f6b8

131001341114040 has 32 divisors (see below), whose sum is σ = 393004023342480. Its totient is φ = 34933690963712.

The previous prime is 131001341114029. The next prime is 131001341114093. The reversal of 131001341114040 is 40411143100131.

It is a super-2 number, since 2×1310013411140402 (a number of 29 digits) contains 22 as substring.

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 131001341114040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 545838921189 + ... + 545838921428.

Almost surely, 2131001341114040 is an apocalyptic number.

131001341114040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131001341114040 is an abundant number, since it is smaller than the sum of its proper divisors (262002682228440).

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

131001341114040 is a wasteful number, since it uses less digits than its factorization.

131001341114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091677842631 (or 1091677842627 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131001341114040 its reverse (40411143100131), we get a palindrome (171412484214171).

The spelling of 131001341114040 in words is "one hundred thirty-one trillion, one billion, three hundred forty-one million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1091677842617 2183355685234 3275033527851 4366711370468 5458389213085 6550067055702 8733422740936 10916778426170 13100134111404 16375167639255 21833556852340 26200268222808 32750335278510 43667113704680 65500670557020 131001341114040