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135630131 = 71317731201
BaseRepresentation
bin10000001010110…
…00110100110011
3100110012201120012
420011120310303
5234210131011
621243005135
73234560060
oct1005306463
9313181505
10135630131
116a617a1a
12395097ab
132213a320
1414027c67
15bd91a8b
hex8158d33

135630131 has 32 divisors (see below), whose sum is σ = 179319168. Its totient is φ = 99532800.

The previous prime is 135630119. The next prime is 135630133. The reversal of 135630131 is 131036531.

135630131 = T458 + T459 + ... + T968.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 135630131 - 218 = 135367987 is a prime.

It is a super-2 number, since 2×1356301312 = 36791064870154322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135630097 and 135630106.

It is not an unprimeable number, because it can be changed into a prime (135630133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112331 + ... + 113531.

It is an arithmetic number, because the mean of its divisors is an integer number (5603724).

Almost surely, 2135630131 is an apocalyptic number.

135630131 is a deficient number, since it is larger than the sum of its proper divisors (43689037).

135630131 is a wasteful number, since it uses less digits than its factorization.

135630131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311.

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 135630131 is about 11646.0349905021. The cubic root of 135630131 is about 513.7897000872.

Adding to 135630131 its reverse (131036531), we get a palindrome (266666662).

The spelling of 135630131 in words is "one hundred thirty-five million, six hundred thirty thousand, one hundred thirty-one".

Divisors: 1 7 13 17 73 91 119 221 511 949 1201 1241 1547 6643 8407 8687 15613 16133 20417 87673 109291 112931 142919 265421 613711 1139749 1490441 1857947 7978243 10433087 19375733 135630131