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21122651660 = 225113116319001
BaseRepresentation
bin10011101011000000…
…100001011000001100
32000112001222212210212
4103223000201120030
5321224344323120
613411551421552
71345303401545
oct235300413014
960461885725
1021122651660
118a5a205910
124115b248b8
131cb8159966
14104543d4cc
158395c86c5
hex4eb02160c

21122651660 has 96 divisors (see below), whose sum is σ = 50260137984. Its totient is φ = 7387200000.

The previous prime is 21122651621. The next prime is 21122651713. The reversal of 21122651660 is 6615622112.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1102160 + ... + 1121160.

It is an arithmetic number, because the mean of its divisors is an integer number (523543104).

Almost surely, 221122651660 is an apocalyptic number.

21122651660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122651660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25130068992).

21122651660 is an abundant number, since it is smaller than the sum of its proper divisors (29137486324).

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

21122651660 is a wasteful number, since it uses less digits than its factorization.

21122651660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19215 (or 19213 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 21122651660 in words is "twenty-one billion, one hundred twenty-two million, six hundred fifty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 163 220 310 326 341 620 652 682 815 1364 1630 1705 1793 3260 3410 3586 5053 6820 7172 8965 10106 17930 19001 20212 25265 35860 38002 50530 55583 76004 95005 101060 111166 190010 209011 222332 277915 380020 418022 555830 589031 836044 1045055 1111660 1178062 2090110 2356124 2945155 3097163 4180220 5890310 6194326 6479341 11780620 12388652 12958682 15485815 25917364 30971630 32396705 34068793 61943260 64793410 68137586 96012053 129586820 136275172 170343965 192024106 340687930 384048212 480060265 681375860 960120530 1056132583 1920241060 2112265166 4224530332 5280662915 10561325830 21122651660