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111150434161 = 13172412086901
BaseRepresentation
bin110011110000100010…
…1010000011101110001
3101121220021011002100201
41213201011100131301
53310114002343121
6123021203315201
711013261046624
oct1474105203561
9347807132321
10111150434161
1143158582348
121966007bb01
13a634958790
145545ccddbb
152d580e1e91
hex19e1150771

111150434161 has 16 divisors (see below), whose sum is σ = 127267631568. Its totient is φ = 96164352000.

The previous prime is 111150434149. The next prime is 111150434167. The reversal of 111150434161 is 161434051111.

It can be written as a sum of positive squares in 8 ways, for example, as 4378336561 + 106772097600 = 66169^2 + 326760^2 .

It is a cyclic number.

It is not a de Polignac number, because 111150434161 - 27 = 111150434033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (111150434167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 990190 + ... + 1096711.

It is an arithmetic number, because the mean of its divisors is an integer number (7954226973).

Almost surely, 2111150434161 is an apocalyptic number.

It is an amenable number.

111150434161 is a deficient number, since it is larger than the sum of its proper divisors (16117197407).

111150434161 is a wasteful number, since it uses less digits than its factorization.

111150434161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087172.

The product of its (nonzero) digits is 1440, while the sum is 28.

Adding to 111150434161 its reverse (161434051111), we get a palindrome (272584485272).

The spelling of 111150434161 in words is "one hundred eleven billion, one hundred fifty million, four hundred thirty-four thousand, one hundred sixty-one".

Divisors: 1 13 17 221 241 3133 4097 53261 2086901 27129713 35477317 461205121 502943141 6538260833 8550033397 111150434161