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21121873320 = 23354717332161
BaseRepresentation
bin10011101010111101…
…100011010110101000
32000112000112100010110
4103222331203112220
5321224144421240
613411523014320
71345263650412
oct235275432650
960460470113
1021121873320
118a59824059
12411580a3a0
131cb7c465c2
1410452b99b2
158394c2c80
hex4eaf635a8

21121873320 has 128 divisors (see below), whose sum is σ = 64781130240. Its totient is φ = 5506928640.

The previous prime is 21121873319. The next prime is 21121873349. The reversal of 21121873320 is 2337812112.

It is a super-2 number, since 2×211218733202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9773040 + ... + 9775200.

It is an arithmetic number, because the mean of its divisors is an integer number (506102580).

Almost surely, 221121873320 is an apocalyptic number.

21121873320 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 21121873320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32390565120).

21121873320 is an abundant number, since it is smaller than the sum of its proper divisors (43659256920).

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

21121873320 is a wasteful number, since it uses less digits than its factorization.

21121873320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3955 (or 3951 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 21121873320 in words is "twenty-one billion, one hundred twenty-one million, eight hundred seventy-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1733 1880 2161 2820 3466 4322 5199 5640 6483 6932 8644 8665 10398 10805 12966 13864 17288 17330 20796 21610 25932 25995 32415 34660 41592 43220 51864 51990 64830 69320 81451 86440 101567 103980 129660 162902 203134 207960 244353 259320 304701 325804 406268 407255 488706 507835 609402 651608 812536 814510 977412 1015670 1218804 1221765 1523505 1629020 1954824 2031340 2437608 2443530 3047010 3258040 3745013 4062680 4887060 6094020 7490026 9774120 11235039 12188040 14980052 18725065 22470078 29960104 37450130 44940156 56175195 74900260 89880312 112350390 149800520 176015611 224700780 352031222 449401560 528046833 704062444 880078055 1056093666 1408124888 1760156110 2112187332 2640234165 3520312220 4224374664 5280468330 7040624440 10560936660 21121873320