Search a number
-
+
31006157525 = 5272202712487
BaseRepresentation
bin11100111000000111…
…000110101011010101
32222000212120000000122
4130320013012223111
51002000034020100
622124413321325
72145234663500
oct347007065325
988025500018
1031006157525
1112171193082
126013a96245
132c01979b95
141701d1a137
15c17124985
hex7381c6ad5

31006157525 has 36 divisors (see below), whose sum is σ = 44750448288. Its totient is φ = 21249174240.

The previous prime is 31006157491. The next prime is 31006157543. The reversal of 31006157525 is 52575160013.

It is not a de Polignac number, because 31006157525 - 218 = 31005895381 is a prime.

It is a super-2 number, since 2×310061575252 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2476832 + ... + 2489318.

It is an arithmetic number, because the mean of its divisors is an integer number (1243068008).

Almost surely, 231006157525 is an apocalyptic number.

31006157525 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31006157525 is a deficient number, since it is larger than the sum of its proper divisors (13744290763).

31006157525 is a wasteful number, since it uses less digits than its factorization.

31006157525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14538 (or 14526 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The spelling of 31006157525 in words is "thirty-one billion, six million, one hundred fifty-seven thousand, five hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 2027 10135 12487 14189 50675 62435 70945 87409 99323 312175 354725 437045 496615 611863 2185225 2483075 3059315 15296575 25311149 126555745 177178043 632778725 885890215 1240246301 4429451075 6201231505 31006157525