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212132010012300 = 2232527233739567271
BaseRepresentation
bin110000001110111011010101…
…000110100010111010001100
31000211002121210111211121111200
4300032323111012202322030
5210301032324030343200
62031100033340145500
762453013651036540
oct6016732506427214
91024077714747450
10212132010012300
1161656753422274
121b960730b38290
139149c690c4981
143a5535ba11a20
15197d091512800
hexc0eed51a2e8c

212132010012300 has 432 divisors, whose sum is σ = 814374225380352. Its totient is φ = 45125680089600.

The previous prime is 212132010012283. The next prime is 212132010012301. The reversal of 212132010012300 is 3210010231212.

212132010012300 is a `hidden beast` number, since 2 + 1 + 21 + 320 + 10 + 0 + 12 + 300 = 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 (212132010012301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14422336 + ... + 25144935.

Almost surely, 2212132010012300 is an apocalyptic number.

212132010012300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132010012300 is an abundant number, since it is smaller than the sum of its proper divisors (602242215368052).

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

212132010012300 is a wasteful number, since it uses less digits than its factorization.

212132010012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39567358 (or 39567348 counting only the distinct ones).

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

Adding to 212132010012300 its reverse (3210010231212), we get a palindrome (215342020243512).

The spelling of 212132010012300 in words is "two hundred twelve trillion, one hundred thirty-two billion, ten million, twelve thousand, three hundred".