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212312100132 = 223311178713889
BaseRepresentation
bin1100010110111011001…
…0011000110100100100
3202022000101200011202000
43011232302120310210
511434303344201012
6241311305045300
721224202034446
oct3055662306444
9668011604660
10212312100132
118204a711270
1235192a86830
131703702a222
14a3c1342496
1557c92e3ddc
hex316ec98d24

212312100132 has 48 divisors (see below), whose sum is σ = 600478670400. Its totient is φ = 64336999680.

The previous prime is 212312100131. The next prime is 212312100137. The reversal of 212312100132 is 231001213212.

212312100132 is a `hidden beast` number, since 212 + 312 + 10 + 0 + 132 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (212312100131) 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, 89355757 + ... + 89358132.

It is an arithmetic number, because the mean of its divisors is an integer number (12509972300).

Almost surely, 2212312100132 is an apocalyptic number.

212312100132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212312100132 is an abundant number, since it is smaller than the sum of its proper divisors (388166570268).

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

212312100132 is a wasteful number, since it uses less digits than its factorization.

212312100132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178713913 (or 178713905 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212312100132 its reverse (231001213212), we get a palindrome (443313313344).

The spelling of 212312100132 in words is "two hundred twelve billion, three hundred twelve million, one hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 178713889 357427778 536141667 714855556 1072283334 1608425001 1965852779 2144566668 3216850002 3931705558 4825275003 5897558337 6433700004 7863411116 9650550006 11795116674 17692675011 19301100012 23590233348 35385350022 53078025033 70770700044 106156050066 212312100132