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131001140332224 = 26322200310336433
BaseRepresentation
bin11101110010010100010100…
…011011110100011011000000
3122011211120211201011120222200
4131302110110123310123000
5114132310313411112344
61142341032033433200
736410343244134321
oct3562242433643300
9564746751146880
10131001140332224
11388172a9585648
1212838a94a0b800
13581347bb83506
14244c6bbc42448
151022990eb1069
hex7725146f46c0

131001140332224 has 84 divisors (see below), whose sum is σ = 375508217558136. Its totient is φ = 43665057957888.

The previous prime is 131001140332211. The next prime is 131001140332261. The reversal of 131001140332224 is 422233041100131.

131001140332224 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 0 + 1 + 1 + 403 + 32 + 224 = 666.

It is a super-2 number, since 2×1310011403322242 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7505512 + ... + 17841944.

Almost surely, 2131001140332224 is an apocalyptic number.

It is an amenable number.

131001140332224 is an abundant number, since it is smaller than the sum of its proper divisors (244507077225912).

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

131001140332224 is a wasteful number, since it uses less digits than its factorization.

131001140332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10358454 (or 10358441 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131001140332224 its reverse (422233041100131), we get a palindrome (553234181432355).

The spelling of 131001140332224 in words is "one hundred thirty-one trillion, one billion, one hundred forty million, three hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 22003 44006 66009 88012 132018 176024 198027 264036 352048 396054 528072 704096 792108 1056144 1408192 1584216 2112288 3168432 4224576 6336864 10336433 12673728 20672866 31009299 41345732 62018598 82691464 93027897 124037196 165382928 186055794 248074392 330765856 372111588 496148784 661531712 744223176 992297568 1488446352 1984595136 2976892704 5953785408 227432535299 454865070598 682297605897 909730141196 1364595211794 1819460282392 2046892817691 2729190423588 3638920564784 4093785635382 5458380847176 7277841129568 8187571270764 10916761694352 14555682259136 16375142541528 21833523388704 32750285083056 43667046777408 65500570166112 131001140332224