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20202332112 = 2432374578297
BaseRepresentation
bin10010110100001001…
…110001111111010000
31221010221020210201200
4102310021301333100
5312333244111422
613140354031200
71313426663304
oct226411617720
957127223650
1020202332112
118627765146
123ab9878500
131b9c59a591
14d99113d04
157d38d62ac
hex4b4271fd0

20202332112 has 120 divisors (see below), whose sum is σ = 58200611976. Its totient is φ = 6536982528.

The previous prime is 20202332107. The next prime is 20202332159. The reversal of 20202332112 is 21123320202.

20202332112 is a `hidden beast` number, since 20 + 202 + 332 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17177772096 + 3024560016 = 131064^2 + 54996^2 .

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

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 2430748 + ... + 2439044.

Almost surely, 220202332112 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 20202332112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29100305988).

20202332112 is an abundant number, since it is smaller than the sum of its proper divisors (37998279864).

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

20202332112 is a wasteful number, since it uses less digits than its factorization.

20202332112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8796 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20202332112 its reverse (21123320202), we get a palindrome (41325652314).

The spelling of 20202332112 in words is "twenty billion, two hundred two million, three hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 457 592 666 888 914 1332 1371 1776 1828 2664 2742 3656 4113 5328 5484 7312 8226 8297 10968 16452 16594 16909 21936 24891 32904 33188 33818 49782 50727 65808 66376 67636 74673 99564 101454 132752 135272 149346 152181 199128 202908 270544 298692 304362 306989 398256 405816 597384 608724 613978 811632 920967 1194768 1217448 1227956 1841934 2434896 2455912 2762901 3683868 3791729 4911824 5525802 7367736 7583458 11051604 11375187 14735472 15166916 22103208 22750374 30333832 34125561 44206416 45500748 60667664 68251122 91001496 136502244 140293973 182002992 273004488 280587946 420881919 546008976 561175892 841763838 1122351784 1262645757 1683527676 2244703568 2525291514 3367055352 5050583028 6734110704 10101166056 20202332112