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21313021320 = 233457983267
BaseRepresentation
bin10011110110010110…
…101110010110001000
32001000100012122220000
4103312112232112020
5322122113140240
613442512003000
71353104456253
oct236626562610
961010178800
1021313021320
119047710408
124169830460
132018721726
14106283609a
1584b17e430
hex4f65ae588

21313021320 has 160 divisors (see below), whose sum is σ = 72543081600. Its totient is φ = 5611462272.

The previous prime is 21313021283. The next prime is 21313021339. The reversal of 21313021320 is 2312031312.

21313021320 is a `hidden beast` number, since 213 + 130 + 2 + 1 + 320 = 666.

It is a super-3 number, since 3×213130213203 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21313021293 and 21313021302.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 214327 + ... + 297593.

It is an arithmetic number, because the mean of its divisors is an integer number (453394260).

Almost surely, 221313021320 is an apocalyptic number.

21313021320 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 21313021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36271540800).

21313021320 is an abundant number, since it is smaller than the sum of its proper divisors (51230060280).

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

21313021320 is a wasteful number, since it uses less digits than its factorization.

21313021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83369 (or 83356 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21313021320 its reverse (2312031312), we get a palindrome (23625052632).

The spelling of 21313021320 in words is "twenty-one billion, three hundred thirteen million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 79 81 90 108 120 135 158 162 180 216 237 270 316 324 360 395 405 474 540 632 648 711 790 810 948 1080 1185 1422 1580 1620 1896 2133 2370 2844 3160 3240 3555 4266 4740 5688 6399 7110 8532 9480 10665 12798 14220 17064 21330 25596 28440 31995 42660 51192 63990 83267 85320 127980 166534 249801 255960 333068 416335 499602 666136 749403 832670 999204 1249005 1498806 1665340 1998408 2248209 2498010 2997612 3330680 3747015 4496418 4996020 5995224 6578093 6744627 7494030 8992836 9992040 11241045 13156186 13489254 14988060 17985672 19734279 22482090 26312372 26978508 29976120 32890465 33723135 39468558 44964180 52624744 53957016 59202837 65780930 67446270 78937116 89928360 98671395 118405674 131561860 134892540 157874232 177608511 197342790 236811348 263123720 269785080 296014185 355217022 394685580 473622696 532825533 592028370 710434044 789371160 888042555 1065651066 1184056740 1420868088 1776085110 2131302132 2368113480 2664127665 3552170220 4262604264 5328255330 7104340440 10656510660 21313021320