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22133000030112 = 253475831126067
BaseRepresentation
bin1010000100001001111011…
…00110101100011110100000
32220100220010211022220220000
411002010331212230132200
510400111341001430422
6115023432043220000
74443025242103536
oct502047546543640
986326124286800
1022133000030112
117063609568a84
122595634b17600
13c47196114a7a
145673587ca156
15285ae4274cac
hex14213d9ac7a0

22133000030112 has 120 divisors (see below), whose sum is σ = 65101180104576. Its totient is φ = 7376687203968.

The previous prime is 22133000030101. The next prime is 22133000030123. The reversal of 22133000030112 is 21103000033122.

22133000030112 is a `hidden beast` number, since 2 + 21 + 330 + 0 + 0 + 0 + 301 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (22133000030101) and next prime (22133000030123).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19092103 + ... + 20218169.

Almost surely, 222133000030112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22133000030112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32550590052288).

22133000030112 is an abundant number, since it is smaller than the sum of its proper divisors (42968180074464).

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

22133000030112 is a wasteful number, since it uses less digits than its factorization.

22133000030112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133672 (or 1133655 counting only the distinct ones).

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

Adding to 22133000030112 its reverse (21103000033122), we get a palindrome (43236000063234).

The spelling of 22133000030112 in words is "twenty-two trillion, one hundred thirty-three billion, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 7583 15166 22749 30332 45498 60664 68247 90996 121328 136494 181992 204741 242656 272988 363984 409482 545976 614223 727968 818964 1091952 1126067 1228446 1637928 2183904 2252134 2456892 3275856 3378201 4504268 4913784 6551712 6756402 9008536 9827568 10134603 13512804 18017072 19655136 20269206 27025608 30403809 36034144 40538412 54051216 60807618 81076824 91211427 108102432 121615236 162153648 182422854 243230472 324307296 364845708 486460944 729691416 972921888 1459382832 2918765664 8538966061 17077932122 25616898183 34155864244 51233796366 68311728488 76850694549 102467592732 136623456976 153701389098 204935185464 230552083647 273246913952 307402778196 409870370928 461104167294 614805556392 691656250941 819740741856 922208334588 1229611112784 1383312501882 1844416669176 2459222225568 2766625003764 3688833338352 5533250007528 7377666676704 11066500015056 22133000030112