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22105121058 = 232193232969
BaseRepresentation
bin10100100101100100…
…010110000100100010
32010001112200111110100
4110211210112010202
5330232402333213
614053245243230
71411533300036
oct244544260442
963045614410
1022105121058
119413845699
12434ab63516
1321138696b7
1410d9b061c6
15895995773
hex525916122

22105121058 has 36 divisors (see below), whose sum is σ = 48145332690. Its totient is φ = 7329973248.

The previous prime is 22105121057. The next prime is 22105121107. The reversal of 22105121058 is 85012150122.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12340321569 + 9764799489 = 111087^2 + 98817^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22105121057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 653998 + ... + 686966.

Almost surely, 222105121058 is an apocalyptic number.

22105121058 is an abundant number, since it is smaller than the sum of its proper divisors (26040211632).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22105121058 is a wasteful number, since it uses less digits than its factorization.

22105121058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33363 (or 33167 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

The spelling of 22105121058 in words is "twenty-two billion, one hundred five million, one hundred twenty-one thousand, fifty-eight".

Divisors: 1 2 3 6 9 18 193 386 579 1158 1737 3474 32969 37249 65938 74498 98907 111747 197814 223494 296721 335241 593442 670482 6363017 12726034 19089051 38178102 57267153 114534306 1228062281 2456124562 3684186843 7368373686 11052560529 22105121058