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21523133034 = 232133125111821
BaseRepresentation
bin10100000010111000…
…001111001001101010
32001112222120102222100
4110002320033021222
5323034410224114
613515415234230
71361235416664
oct240270171152
961488512870
1021523133034
11914527a457
124208078976
1320501093a0
1410826cb534
1585e834909
hex502e0f26a

21523133034 has 96 divisors (see below), whose sum is σ = 52051603968. Its totient is φ = 6382800000.

The previous prime is 21523132933. The next prime is 21523133041. The reversal of 21523133034 is 43033132512.

21523133034 is a `hidden beast` number, since 2 + 1 + 523 + 133 + 0 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21523132989 and 21523133007.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1814844 + ... + 1826664.

It is an arithmetic number, because the mean of its divisors is an integer number (542204208).

Almost surely, 221523133034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21523133034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26025801984).

21523133034 is an abundant number, since it is smaller than the sum of its proper divisors (30528470934).

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

21523133034 is a wasteful number, since it uses less digits than its factorization.

21523133034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12124 (or 12121 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 21523133034 its reverse (43033132512), we get a palindrome (64556265546).

The spelling of 21523133034 in words is "twenty-one billion, five hundred twenty-three million, one hundred thirty-three thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 31 39 62 78 93 117 186 234 251 279 403 502 558 753 806 1209 1506 2259 2418 3263 3627 4518 6526 7254 7781 9789 11821 15562 19578 23343 23642 29367 35463 46686 58734 70029 70926 101153 106389 140058 153673 202306 212778 303459 307346 366451 461019 606918 732902 910377 922038 1099353 1383057 1820754 2198706 2766114 2967071 3298059 4763863 5934142 6596118 8901213 9527726 14291589 17802426 26703639 28583178 38571923 42874767 53407278 77143846 85749534 91979201 115715769 183958402 231431538 275937603 347147307 551875206 694294614 827812809 1195729613 1655625618 2391459226 3587188839 7174377678 10761566517 21523133034