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21323122320 = 2435293379091
BaseRepresentation
bin10011110110111101…
…010000011010010000
32001001001012211212010
4103312331100122100
5322132204403240
613443512302520
71353256356243
oct236675203220
961031184763
1021323122320
11905238a445
1241710a1a40
13201a84a256
141063d0525a
1584bec7280
hex4f6f50690

21323122320 has 160 divisors (see below), whose sum is σ = 68591502720. Its totient is φ = 5473198080.

The previous prime is 21323122309. The next prime is 21323122351. The reversal of 21323122320 is 2322132312.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2340975 + ... + 2350065.

It is an arithmetic number, because the mean of its divisors is an integer number (428696892).

Almost surely, 221323122320 is an apocalyptic number.

21323122320 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 21323122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34295751360).

21323122320 is an abundant number, since it is smaller than the sum of its proper divisors (47268380400).

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

21323122320 is a wasteful number, since it uses less digits than its factorization.

21323122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9473 (or 9467 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 21323122320 its reverse (2322132312), we get a palindrome (23645254632).

The spelling of 21323122320 in words is "twenty-one billion, three hundred twenty-three million, one hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 337 348 435 464 580 674 696 870 1011 1160 1348 1392 1685 1740 2022 2320 2696 3370 3480 4044 5055 5392 6740 6960 8088 9091 9773 10110 13480 16176 18182 19546 20220 26960 27273 29319 36364 39092 40440 45455 48865 54546 58638 72728 78184 80880 90910 97730 109092 117276 136365 145456 146595 156368 181820 195460 218184 234552 263639 272730 293190 363640 390920 436368 469104 527278 545460 586380 727280 781840 790917 1054556 1090920 1172760 1318195 1581834 2109112 2181840 2345520 2636390 3063667 3163668 3954585 4218224 5272780 6127334 6327336 7909170 9191001 10545560 12254668 12654672 15318335 15818340 18382002 21091120 24509336 30636670 31636680 36764004 45955005 49018672 61273340 63273360 73528008 88846343 91910010 122546680 147056016 177692686 183820020 245093360 266539029 355385372 367640040 444231715 533078058 710770744 735280080 888463430 1066156116 1332695145 1421541488 1776926860 2132312232 2665390290 3553853720 4264624464 5330780580 7107707440 10661561160 21323122320