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131140245130110 = 23353557136548949
BaseRepresentation
bin11101110100010101110111…
…101110100000101101111110
3122012022212220011101111022000
4131310111313232200231332
5114142100210223130420
61142524555200203130
736423366345330036
oct3564256756405576
9565285804344260
10131140245130110
11388702a1614127
121285ba369094a6
13582361a13b8c8
1424553166028c6
1510263d3302690
hex774577ba0b7e

131140245130110 has 64 divisors (see below), whose sum is σ = 349805638152000. Its totient is φ = 34960900254336.

The previous prime is 131140245130099. The next prime is 131140245130129. The reversal of 131140245130110 is 11031542041131.

131140245130110 is a `hidden beast` number, since 1 + 3 + 1 + 14 + 0 + 24 + 513 + 0 + 110 = 666.

It is a super-2 number, since 2×1311402451301102 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67314085 + ... + 69234864.

It is an arithmetic number, because the mean of its divisors is an integer number (5465713096125).

Almost surely, 2131140245130110 is an apocalyptic number.

131140245130110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131140245130110 is an abundant number, since it is smaller than the sum of its proper divisors (218665393021890).

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

131140245130110 is a wasteful number, since it uses less digits than its factorization.

131140245130110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136552522 (or 136552516 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 131140245130110 its reverse (11031542041131), we get a palindrome (142171787171241).

The spelling of 131140245130110 in words is "one hundred thirty-one trillion, one hundred forty billion, two hundred forty-five million, one hundred thirty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 3557 7114 10671 17785 21342 32013 35570 53355 64026 96039 106710 160065 192078 320130 480195 960390 136548949 273097898 409646847 682744745 819293694 1228940541 1365489490 2048234235 2457881082 3686821623 4096468470 6144702705 7373643246 12289405410 18434108115 36868216230 485704611593 971409223186 1457113834779 2428523057965 2914227669558 4371341504337 4857046115930 7285569173895 8742683008674 13114024513011 14571138347790 21856707521685 26228049026022 43713415043370 65570122565055 131140245130110