Search a number
-
+
106561044131 = 43163120112659
BaseRepresentation
bin110001100111110001…
…0000111111010100011
3101012001102101220210012
41203033202013322203
53221214111403011
6120541540555135
710461452634023
oct1431742077243
9335042356705
10106561044131
1141212a27723
121879b0b2aab
13a082bb4889
14522c595a83
152b8a247a8b
hex18cf887ea3

106561044131 has 16 divisors (see below), whose sum is σ = 109808181120. Its totient is φ = 103350038400.

The previous prime is 106561044113. The next prime is 106561044151. The reversal of 106561044131 is 131440165601.

It is a cyclic number.

It is not a de Polignac number, because 106561044131 - 214 = 106561027747 is a prime.

It is a super-2 number, since 2×1065610441312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106561044151) 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, 8411480 + ... + 8424138.

It is an arithmetic number, because the mean of its divisors is an integer number (6863011320).

Almost surely, 2106561044131 is an apocalyptic number.

106561044131 is a deficient number, since it is larger than the sum of its proper divisors (3247136989).

106561044131 is a wasteful number, since it uses less digits than its factorization.

106561044131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14066.

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 106561044131 in words is "one hundred six billion, five hundred sixty-one million, forty-four thousand, one hundred thirty-one".

Divisors: 1 43 163 1201 7009 12659 51643 195763 544337 2063417 8417809 15203459 88726931 653748737 2478163817 106561044131