Search a number
-
+
106206575121 = 3267176130307
BaseRepresentation
bin110001011101001100…
…1111011101000010001
3101011010201102000201100
41202322121323220101
53220002340400441
6120442435255013
710446616664463
oct1427231735021
9334121360640
10106206575121
114105092a929
121870044a469
13a0276254ba
1451d7484133
152b69079cb6
hex18ba67ba11

106206575121 has 12 divisors (see below), whose sum is σ = 155699192272. Its totient is φ = 69747601176.

The previous prime is 106206575119. The next prime is 106206575129. The reversal of 106206575121 is 121575602601.

106206575121 is a `hidden beast` number, since 1 + 0 + 62 + 0 + 6 + 575 + 1 + 21 = 666.

It is not a de Polignac number, because 106206575121 - 21 = 106206575119 is a prime.

It is a super-2 number, since 2×1062065751212 (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 (106206575129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88064551 + ... + 88065756.

Almost surely, 2106206575121 is an apocalyptic number.

It is an amenable number.

106206575121 is a deficient number, since it is larger than the sum of its proper divisors (49492617151).

106206575121 is a wasteful number, since it uses less digits than its factorization.

106206575121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176130380 (or 176130377 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 106206575121 in words is "one hundred six billion, two hundred six million, five hundred seventy-five thousand, one hundred twenty-one".

Divisors: 1 3 9 67 201 603 176130307 528390921 1585172763 11800730569 35402191707 106206575121