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212013323232 = 2534215719187
BaseRepresentation
bin1100010101110011111…
…0101001001111100000
3202021020120110201212220
43011130332221033200
511433200402320412
6241221513151040
721213613340664
oct3053476511740
9667216421786
10212013323232
1181a06aa2807
123510a9bb480
1316cba16a069
14a3937aa8a4
1557ace7768c
hex315cfa93e0

212013323232 has 96 divisors (see below), whose sum is σ = 558894720384. Its totient is φ = 70372108800.

The previous prime is 212013323147. The next prime is 212013323233. The reversal of 212013323232 is 232323310212.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013323233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23072943 + ... + 23082129.

It is an arithmetic number, because the mean of its divisors is an integer number (5821820004).

Almost surely, 2212013323232 is an apocalyptic number.

It is an amenable number.

212013323232 is an abundant number, since it is smaller than the sum of its proper divisors (346881397152).

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

212013323232 is a wasteful number, since it uses less digits than its factorization.

212013323232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10192 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 212013323232 its reverse (232323310212), we get a palindrome (444336633444).

It can be divided in two parts, 21201 and 3323232, that added together give a palindrome (3344433).

The spelling of 212013323232 in words is "two hundred twelve billion, thirteen million, three hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 421 571 842 1142 1263 1684 1713 2284 2526 3368 3426 4568 5052 6736 6852 9136 9187 10104 13472 13704 18272 18374 20208 27408 27561 36748 40416 54816 55122 73496 110244 146992 220488 240391 293984 440976 480782 721173 881952 961564 1442346 1923128 2884692 3846256 3867727 5245777 5769384 7692512 7735454 10491554 11538768 11603181 15470908 15737331 20983108 23077536 23206362 30941816 31474662 41966216 46412724 61883632 62949324 83932432 92825448 123767264 125898648 167864864 185650896 251797296 371301792 503594592 2208472117 4416944234 6625416351 8833888468 13250832702 17667776936 26501665404 35335553872 53003330808 70671107744 106006661616 212013323232