Search a number
-
+
135107631 = 3218182939
BaseRepresentation
bin10000000110110…
…01010000101111
3100102020011211100
420003121100233
5234041421011
621223454143
73230252541
oct1003312057
9312204740
10135107631
116a2a03aa
12392b7353
1321cb6559
1413d2d691
15bcdbd56
hex80d942f

135107631 has 12 divisors (see below), whose sum is σ = 196236040. Its totient is φ = 89573040.

The previous prime is 135107629. The next prime is 135107633. The reversal of 135107631 is 136701531.

135107631 is a `hidden beast` number, since 13 + 5 + 10 + 7 + 631 = 666.

It is an interprime number because it is at equal distance from previous prime (135107629) and next prime (135107633).

It is not a de Polignac number, because 135107631 - 21 = 135107629 is a prime.

It is a super-2 number, since 2×1351076312 = 36508143908864322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135107595 and 135107604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135107633) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39841 + ... + 43098.

Almost surely, 2135107631 is an apocalyptic number.

135107631 is a deficient number, since it is larger than the sum of its proper divisors (61128409).

135107631 is a wasteful number, since it uses less digits than its factorization.

135107631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83126 (or 83123 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 135107631 is about 11623.5808165986. The cubic root of 135107631 is about 513.1290784707.

The spelling of 135107631 in words is "one hundred thirty-five million, one hundred seven thousand, six hundred thirty-one".

Divisors: 1 3 9 181 543 1629 82939 248817 746451 15011959 45035877 135107631