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21312003300 = 22352747921187
BaseRepresentation
bin10011110110010010…
…110101110011100100
32001000021021221102120
4103312102311303210
5322121333101200
613442434105540
71353063016260
oct236622656344
961007257376
1021312003300
119047085575
12416941b2b0
132018456253
14106264d0a0
1584b02c9a0
hex4f64b5ce4

21312003300 has 144 divisors (see below), whose sum is σ = 70622146560. Its totient is φ = 4860915840.

The previous prime is 21312003299. The next prime is 21312003311. The reversal of 21312003300 is 330021312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21312003300.

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 47 ways as a sum of consecutive naturals, for example, 995307 + ... + 1016493.

Almost surely, 221312003300 is an apocalyptic number.

21312003300 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 21312003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35311073280).

21312003300 is an abundant number, since it is smaller than the sum of its proper divisors (49310143260).

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

21312003300 is a wasteful number, since it uses less digits than its factorization.

21312003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21690 (or 21683 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 21312003300 its reverse (330021312), we get a palindrome (21642024612).

The spelling of 21312003300 in words is "twenty-one billion, three hundred twelve million, three thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 479 525 700 958 1050 1437 1916 2100 2395 2874 3353 4790 5748 6706 7185 9580 10059 11975 13412 14370 16765 20118 21187 23950 28740 33530 35925 40236 42374 47900 50295 63561 67060 71850 83825 84748 100590 105935 127122 143700 148309 167650 201180 211870 251475 254244 296618 317805 335300 423740 444927 502950 529675 593236 635610 741545 889854 1005900 1059350 1271220 1483090 1589025 1779708 2118700 2224635 2966180 3178050 3707725 4449270 6356100 7415450 8898540 10148573 11123175 14830900 20297146 22246350 30445719 40594292 44492700 50742865 60891438 71040011 101485730 121782876 142080022 152228595 202971460 213120033 253714325 284160044 304457190 355200055 426240066 507428650 608914380 710400110 761142975 852480132 1014857300 1065600165 1420800220 1522285950 1776000275 2131200330 3044571900 3552000550 4262400660 5328000825 7104001100 10656001650 21312003300