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21002122111200 = 2535213241660893
BaseRepresentation
bin1001100011001111100000…
…00001110010100011100000
32202100210011000000100102220
410301213300001302203200
510223044321230024300
6112400124112511040
74265232110306016
oct461476001624340
982323130010386
1021002122111200
116767a4a45353a
12243242824b480
13b9465110c779
145287184688b6
152664a7a80da0
hex1319f00728e0

21002122111200 has 144 divisors (see below), whose sum is σ = 68367173814576. Its totient is φ = 5600134451200.

The previous prime is 21002122111193. The next prime is 21002122111213. The reversal of 21002122111200 is 211122120012.

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 21002122111200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31447954 + ... + 32108846.

It is an arithmetic number, because the mean of its divisors is an integer number (474772040379).

Almost surely, 221002122111200 is an apocalyptic number.

21002122111200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21002122111200 is an abundant number, since it is smaller than the sum of its proper divisors (47365051703376).

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

21002122111200 is a wasteful number, since it uses less digits than its factorization.

21002122111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674157 (or 674144 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21002122111200 its reverse (211122120012), we get a palindrome (21213244231212).

It can be divided in two parts, 210021 and 22111200, that added together give a triangular number (22321221 = T6681).

The spelling of 21002122111200 in words is "twenty-one trillion, two billion, one hundred twenty-two million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 13241 26482 39723 52964 66205 79446 105928 132410 158892 198615 211856 264820 317784 331025 397230 423712 529640 635568 660893 662050 794460 993075 1059280 1271136 1321786 1324100 1588920 1982679 1986150 2118560 2643572 2648200 3177840 3304465 3965358 3972300 5287144 5296400 6355680 6608930 7930716 7944600 9913395 10574288 10592800 13217860 15861432 15889200 16522325 19826790 21148576 26435720 31722864 31778400 33044650 39653580 49566975 52871440 63445728 66089300 79307160 99133950 105742880 132178600 158614320 198267900 264357200 317228640 396535800 528714400 793071600 1586143200 8750884213 17501768426 26252652639 35003536852 43754421065 52505305278 70007073704 87508842130 105010610556 131263263195 140014147408 175017684260 210021221112 218772105325 262526526390 280028294816 350035368520 420042442224 437544210650 525053052780 656316315975 700070737040 840084884448 875088421300 1050106105560 1312632631950 1400141474080 1750176842600 2100212211120 2625265263900 3500353685200 4200424422240 5250530527800 7000707370400 10501061055600 21002122111200