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131527507631 = 13411971252631
BaseRepresentation
bin111101001111110100…
…1100111111010101111
3110120111101012200011112
41322133221213322233
54123332020221011
6140231202542235
712334242240242
oct1723751477257
9416441180145
10131527507631
1150864938233
12215a836797b
13c5314a84c0
14651a2cd259
15364bee358b
hex1e9fa67eaf

131527507631 has 16 divisors (see below), whose sum is σ = 145836427968. Its totient is φ = 117847430400.

The previous prime is 131527507607. The next prime is 131527507691. The reversal of 131527507631 is 136705725131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131527507631 is a prime.

It is a super-2 number, since 2×1315275076312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131527507691) 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, 521315 + ... + 731316.

It is an arithmetic number, because the mean of its divisors is an integer number (9114776748).

Almost surely, 2131527507631 is an apocalyptic number.

131527507631 is a deficient number, since it is larger than the sum of its proper divisors (14308920337).

131527507631 is a wasteful number, since it uses less digits than its factorization.

131527507631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252882.

The product of its (nonzero) digits is 132300, while the sum is 41.

The spelling of 131527507631 in words is "one hundred thirty-one billion, five hundred twenty-seven million, five hundred seven thousand, six hundred thirty-one".

Divisors: 1 13 41 197 533 2561 8077 105001 1252631 16284203 51357871 246768307 667652323 3207987991 10117500587 131527507631