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22122324012100 = 22521317017172317
BaseRepresentation
bin1010000011110110000010…
…10000111010110001000100
32220022212120210112000101111
411001323001100322301010
510344423004421341400
6115014504431134404
74442166545332564
oct501730120726104
986285523460344
1022122324012100
11705a0301a46a4
122593555674404
13c46184363c50
14566a24972da4
152856bbd803ba
hex141ec143ac44

22122324012100 has 36 divisors (see below), whose sum is σ = 51698169502084. Its totient is φ = 8168242711680.

The previous prime is 22122324012091. The next prime is 22122324012109. The reversal of 22122324012100 is 121042322122.

It is an interprime number because it is at equal distance from previous prime (22122324012091) and next prime (22122324012109).

It can be written as a sum of positive squares in 6 ways, for example, as 4806538833924 + 17315785178176 = 2192382^2 + 4161224^2 .

It is not an unprimeable number, because it can be changed into a prime (22122324012109) 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, 8508584859 + ... + 8508587458.

Almost surely, 222122324012100 is an apocalyptic number.

22122324012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22122324012100 is an abundant number, since it is smaller than the sum of its proper divisors (29575845489984).

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

22122324012100 is a wasteful number, since it uses less digits than its factorization.

22122324012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17017172344 (or 17017172337 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 22122324012100 its reverse (121042322122), we get a palindrome (22243366334222).

The spelling of 22122324012100 in words is "twenty-two trillion, one hundred twenty-two billion, three hundred twenty-four million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 17017172317 34034344634 68068689268 85085861585 170171723170 221223240121 340343446340 425429307925 442446480242 850858615850 884892960484 1106116200605 1701717231700 2212232401210 4424464802420 5530581003025 11061162006050 22122324012100