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210012100012 = 22111339722397
BaseRepresentation
bin1100001110010110110…
…0100101010110101100
3202002002002211001201101
43003211230211112230
511420101044200022
6240251144052444
721113203252651
oct3034554452654
9662062731641
10210012100012
118107a3a0120
1234850764124
1316a5b685000
14a243ab3c28
1556e2422627
hex30e5b255ac

210012100012 has 96 divisors (see below), whose sum is σ = 438825199680. Its totient is φ = 87204648960.

The previous prime is 210012100003. The next prime is 210012100019. The reversal of 210012100012 is 210001210012.

210012100012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (210012100019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9365598 + ... + 9387994.

It is an arithmetic number, because the mean of its divisors is an integer number (4571095830).

Almost surely, 2210012100012 is an apocalyptic number.

210012100012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210012100012 is an abundant number, since it is smaller than the sum of its proper divisors (228813099668).

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

210012100012 is a wasteful number, since it uses less digits than its factorization.

210012100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22548 (or 22520 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 210012100012 its reverse (210001210012), we get a palindrome (420013310024).

Subtracting from 210012100012 its reverse (210001210012), we obtain a square (10890000 = 33002).

The spelling of 210012100012 in words is "two hundred ten billion, twelve million, one hundred thousand, twelve".

Divisors: 1 2 4 11 13 22 26 44 52 97 143 169 194 286 338 388 572 676 1067 1261 1859 2134 2197 2522 3718 4268 4394 5044 7436 8788 13871 16393 22397 24167 27742 32786 44794 48334 55484 65572 89588 96668 180323 213109 246367 291161 360646 426218 492734 582322 721292 852436 985468 1164644 2172509 2344199 3202771 3785093 4345018 4688398 6405542 7570186 8690036 9376796 12811084 15140372 23897599 28242617 41636023 47795198 49206209 56485234 83272046 95590396 98412418 112970468 166544092 196824836 310668787 367154021 541268299 621337574 734308042 1082536598 1242675148 1468616084 2165073196 4038694231 4773002273 8077388462 9546004546 16154776924 19092009092 52503025003 105006050006 210012100012