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210100102212 = 2237211133180603
BaseRepresentation
bin1100001110101011110…
…0010010010001000100
3202002022020102001001010
43003222330102101010
511420241111232322
6240304010202220
721115322255100
oct3035274222104
9662266361033
10210100102212
1181115037510
1234876123370
1316a73987810
14a251660900
1556ea00720c
hex30eaf12444

210100102212 has 288 divisors, whose sum is σ = 691590057984. Its totient is φ = 48748089600.

The previous prime is 210100102193. The next prime is 210100102237. The reversal of 210100102212 is 212201001012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2566303 + ... + 2646905.

It is an arithmetic number, because the mean of its divisors is an integer number (2401354368).

Almost surely, 2210100102212 is an apocalyptic number.

210100102212 is a gapful number since it is divisible by the number (22) 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 210100102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345795028992).

210100102212 is an abundant number, since it is smaller than the sum of its proper divisors (481489955772).

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

210100102212 is a wasteful number, since it uses less digits than its factorization.

210100102212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80679 (or 80670 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210100102212 its reverse (212201001012), we get a palindrome (422301103224).

The spelling of 210100102212 in words is "two hundred ten billion, one hundred million, one hundred two thousand, two hundred twelve".