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105226421121 = 3244939260171
BaseRepresentation
bin110000111111111111…
…0111100001110000001
3101001121102002001012100
41201333332330032001
53211000430433441
6120201303221013
710413415551603
oct1417776741601
9331542061170
10105226421121
11406986316a8
1218488147769
139bcc546613
145143221173
152b0ceb8cb6
hex187ffbc381

105226421121 has 12 divisors (see below), whose sum is σ = 151997685840. Its totient is φ = 70149116760.

The previous prime is 105226421093. The next prime is 105226421123. The reversal of 105226421121 is 121124622501.

It is a happy number.

105226421121 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 2 + 642 + 1 + 12 + 1 = 666.

It is not a de Polignac number, because 105226421121 - 217 = 105226290049 is a prime.

It is a super-2 number, since 2×1052264211212 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105226421123) 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, 274366 + ... + 534536.

It is an arithmetic number, because the mean of its divisors is an integer number (12666473820).

Almost surely, 2105226421121 is an apocalyptic number.

It is an amenable number.

105226421121 is a deficient number, since it is larger than the sum of its proper divisors (46771264719).

105226421121 is a wasteful number, since it uses less digits than its factorization.

105226421121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305116 (or 305113 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 105226421121 in words is "one hundred five billion, two hundred twenty-six million, four hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 44939 134817 260171 404451 780513 2341539 11691824569 35075473707 105226421121