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21122112102 = 23713160924043
BaseRepresentation
bin10011101010111110…
…011101101001100110
32000112000222110200020
4103222332131221212
5321224230041402
613411532100010
71345265663520
oct235276355146
960460873606
1021122112102
118a599774a3
124115904606
131cb7ccb1b0
14104533ca10
1583951d8bc
hex4eaf9da66

21122112102 has 64 divisors (see below), whose sum is σ = 52027368960. Its totient is φ = 5566973184.

The previous prime is 21122112029. The next prime is 21122112103. The reversal of 21122112102 is 20121122112.

It is a super-2 number, since 2×211221121022 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122112103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 866493 + ... + 890535.

It is an arithmetic number, because the mean of its divisors is an integer number (812927640).

Almost surely, 221122112102 is an apocalyptic number.

21122112102 is an abundant number, since it is smaller than the sum of its proper divisors (30905256858).

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

21122112102 is a wasteful number, since it uses less digits than its factorization.

21122112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25677.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21122112102 its reverse (20121122112), we get a palindrome (41243234214).

The spelling of 21122112102 in words is "twenty-one billion, one hundred twenty-two million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 1609 3218 4827 9654 11263 20917 22526 24043 33789 41834 48086 62751 67578 72129 125502 144258 146419 168301 292838 312559 336602 439257 504903 625118 878514 937677 1009806 1875354 2187913 4375826 6563739 13127478 38685187 77370374 116055561 232111122 270796309 502907431 541592618 812388927 1005814862 1508722293 1624777854 3017444586 3520352017 7040704034 10561056051 21122112102