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21442312120 = 23523101230761
BaseRepresentation
bin10011111110000011…
…111011011110111000
32001100100111022112011
4103332003323132320
5322403212441440
613503411055304
71356234434335
oct237603733670
961310438464
1021442312120
119103698509
1241a4ba1534
13203944c468
141075a8d98c
158576bc9ea
hex4fe0fb7b8

21442312120 has 64 divisors (see below), whose sum is σ = 50841483840. Its totient is φ = 8122752000.

The previous prime is 21442312091. The next prime is 21442312147. The reversal of 21442312120 is 2121324412.

It is a junction number, because it is equal to n+sod(n) for n = 21442312091 and 21442312100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22461 + ... + 208300.

It is an arithmetic number, because the mean of its divisors is an integer number (794398185).

Almost surely, 221442312120 is an apocalyptic number.

21442312120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21442312120 is an abundant number, since it is smaller than the sum of its proper divisors (29399171720).

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

21442312120 is a wasteful number, since it uses less digits than its factorization.

21442312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230896 (or 230892 counting only the distinct ones).

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

Adding to 21442312120 its reverse (2121324412), we get a palindrome (23563636532).

The spelling of 21442312120 in words is "twenty-one billion, four hundred forty-two million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 101 115 184 202 230 404 460 505 808 920 1010 2020 2323 4040 4646 9292 11615 18584 23230 46460 92920 230761 461522 923044 1153805 1846088 2307610 4615220 5307503 9230440 10615006 21230012 23306861 26537515 42460024 46613722 53075030 93227444 106150060 116534305 186454888 212300120 233068610 466137220 536057803 932274440 1072115606 2144231212 2680289015 4288462424 5360578030 10721156060 21442312120