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212532210122304 = 2634388192919011
BaseRepresentation
bin110000010100110000000010…
…111000110011111001000000
31000212111212210010221121211010
4300110300002320303321000
5210324111431242403204
62032003541025320520
762523642202613622
oct6024600270637100
91025455703847733
10212532210122304
11617a0449a02236
121ba061bb196140
1391789170283a7
143a6a8845c4c12
1519886b5787d89
hexc14c02e33e40

212532210122304 has 112 divisors (see below), whose sum is σ = 575467569895680. Its totient is φ = 69188663523840.

The previous prime is 212532210122231. The next prime is 212532210122321. The reversal of 212532210122304 is 403221012235212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71350159 + ... + 74269169.

It is an arithmetic number, because the mean of its divisors is an integer number (5138103302640).

Almost surely, 2212532210122304 is an apocalyptic number.

212532210122304 is a gapful number since it is divisible by the number (24) 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 212532210122304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287733784947840).

212532210122304 is an abundant number, since it is smaller than the sum of its proper divisors (362935359773376).

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

212532210122304 is a wasteful number, since it uses less digits than its factorization.

212532210122304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927888 (or 2927878 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 212532210122304 its reverse (403221012235212), we get a palindrome (615753222357516).

The spelling of 212532210122304 in words is "two hundred twelve trillion, five hundred thirty-two billion, two hundred ten million, one hundred twenty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1032 1376 2064 2752 4128 8256 8819 17638 26457 35276 52914 70552 105828 141104 211656 282208 379217 423312 564416 758434 846624 1137651 1516868 1693248 2275302 2919011 3033736 4550604 5838022 6067472 8757033 9101208 11676044 12134944 17514066 18202416 23352088 24269888 35028132 36404832 46704176 70056264 72809664 93408352 125517473 140112528 186816704 251034946 280225056 376552419 502069892 560450112 753104838 1004139784 1506209676 2008279568 3012419352 4016559136 6024838704 8033118272 12049677408 24099354816 25742758009 51485516018 77228274027 102971032036 154456548054 205942064072 308913096108 411884128144 617826192216 823768256288 1106938594387 1235652384432 1647536512576 2213877188774 2471304768864 3320815783161 4427754377548 4942609537728 6641631566322 8855508755096 13283263132644 17711017510192 26566526265288 35422035020384 53133052530576 70844070040768 106266105061152 212532210122304