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21210112110 = 235111910133493
BaseRepresentation
bin10011110000001110…
…001010000001101110
32000202011120022222210
4103300032022001232
5321414242041420
613424354151250
71350414656355
oct236016120156
960664508883
1021210112110
118aa4612180
12413b282526
1320002cc9c5
141052cc899c
158421029e0
hex4f038a06e

21210112110 has 128 divisors (see below), whose sum is σ = 59035184640. Its totient is φ = 4822848000.

The previous prime is 21210112109. The next prime is 21210112111. The reversal of 21210112110 is 1121101212.

It is an interprime number because it is at equal distance from previous prime (21210112109) and next prime (21210112111).

21210112110 is a modest number, since divided by 112110 gives 21210 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210112111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 616524 + ... + 650016.

It is an arithmetic number, because the mean of its divisors is an integer number (461212380).

Almost surely, 221210112110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29517592320).

21210112110 is an abundant number, since it is smaller than the sum of its proper divisors (37825072530).

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

21210112110 is a wasteful number, since it uses less digits than its factorization.

21210112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33634.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21210112110 its reverse (1121101212), we get a palindrome (22331213322).

The spelling of 21210112110 in words is "twenty-one billion, two hundred ten million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 101 110 114 165 190 202 209 285 303 330 418 505 570 606 627 1010 1045 1111 1254 1515 1919 2090 2222 3030 3135 3333 3838 5555 5757 6270 6666 9595 11110 11514 16665 19190 21109 28785 33330 33493 42218 57570 63327 66986 100479 105545 126654 167465 200958 211090 316635 334930 368423 502395 633270 636367 736846 1004790 1105269 1272734 1842115 1909101 2210538 3181835 3382793 3684230 3818202 5526345 6363670 6765586 7000037 9545505 10148379 11052690 14000074 16913965 19091010 20296758 21000111 33827930 35000185 37210723 42000222 50741895 64273067 70000370 74421446 101483790 105000555 111632169 128546134 186053615 192819201 210001110 223264338 321365335 372107230 385638402 558160845 642730670 707003737 964096005 1116321690 1414007474 1928192010 2121011211 3535018685 4242022422 7070037370 10605056055 21210112110