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12531131501140 = 2257176101863003
BaseRepresentation
bin1011011001011010000110…
…1001000100101001010100
31122100222001002200221011201
42312112201221010221110
53120302224131014030
642352420005242244
72432226056204020
oct266264151045124
948328032627151
1012531131501140
113aa147205693a
1214a474a703384
136cb8b0462745
1431471d629380
1516ae6bb872ca
hexb65a1a44a54

12531131501140 has 96 divisors (see below), whose sum is σ = 31849072867584. Its totient is φ = 4042991769600.

The previous prime is 12531131501137. The next prime is 12531131501159. The reversal of 12531131501140 is 4110513113521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12531131501099 and 12531131501108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14088879 + ... + 14951881.

It is an arithmetic number, because the mean of its divisors is an integer number (331761175704).

Almost surely, 212531131501140 is an apocalyptic number.

12531131501140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12531131501140 is an abundant number, since it is smaller than the sum of its proper divisors (19317941366444).

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

12531131501140 is a wasteful number, since it uses less digits than its factorization.

12531131501140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869137 (or 869135 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 12531131501140 its reverse (4110513113521), we get a palindrome (16641644614661).

The spelling of 12531131501140 in words is "twelve trillion, five hundred thirty-one billion, one hundred thirty-one million, five hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 6101 12202 24404 30505 42707 61010 85414 103717 122020 170828 207434 213535 414868 427070 518585 726019 854140 863003 1037170 1452038 1726006 2074340 2904076 3452012 3630095 4315015 6041021 7260190 8630030 12082042 14520380 14671051 17260060 24164084 29342102 30205105 58684204 60410210 73355255 102697357 120820420 146710510 205394714 293421020 410789428 513486785 1026973570 2053947140 5265181303 10530362606 21060725212 26325906515 36856269121 52651813030 73712538242 89508082151 105303626060 147425076484 179016164302 184281345605 358032328604 368562691210 447540410755 626556575057 737125382420 895080821510 1253113150114 1790161643020 2506226300228 3132782875285 6265565750570 12531131501140