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15005250131 = 532693792777
BaseRepresentation
bin11011111100110000…
…11111001001010011
31102201202000200111212
431332120133021103
5221212321001011
610520542330335
71040562343634
oct157630371123
942652020455
1015005250131
116400088573
122aa92899ab
131551966941
14a24bcd88b
155cc50008b
hex37e61f253

15005250131 has 16 divisors (see below), whose sum is σ = 15391231200. Its totient is φ = 14623435008.

The previous prime is 15005250109. The next prime is 15005250149. The reversal of 15005250131 is 13105250051.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 15005250131 - 230 = 13931508307 is a prime.

It is a super-3 number, since 3×150052501313 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 15005250097 and 15005250106.

It is not an unprimeable number, because it can be changed into a prime (15005250191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5402015 + ... + 5404791.

It is an arithmetic number, because the mean of its divisors is an integer number (961951950).

Almost surely, 215005250131 is an apocalyptic number.

15005250131 is a deficient number, since it is larger than the sum of its proper divisors (385981069).

15005250131 is a wasteful number, since it uses less digits than its factorization.

15005250131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478.

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 15005250131 in words is "fifteen billion, five million, two hundred fifty thousand, one hundred thirty-one".

Divisors: 1 53 269 379 2777 14257 20087 101951 147181 747013 1052483 5403403 39591689 55781599 283117927 15005250131