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210110000100 = 22352711134571531
BaseRepresentation
bin1100001110101110001…
…0000010101111100100
3202002022221000220101120
43003223202002233210
511420301130000400
6240305002253540
721115502350650
oct3035342025744
9662287026346
10210110000100
118111a687990
12348794b72b0
1316a75a41a60
14a252ab9a60
1556ead0eca0
hex30eb882be4

210110000100 has 576 divisors, whose sum is σ = 818546276352. Its totient is φ = 40186368000.

The previous prime is 210110000063. The next prime is 210110000123. The reversal of 210110000100 is 1000011012.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 137236335 + ... + 137237865.

Almost surely, 2210110000100 is an apocalyptic number.

210110000100 is a gapful number since it is divisible by the number (20) 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 210110000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409273138176).

210110000100 is an abundant number, since it is smaller than the sum of its proper divisors (608436276252).

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

210110000100 is a wasteful number, since it uses less digits than its factorization.

210110000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2036 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 210110000100 its reverse (1000011012), we get a palindrome (211110011112).

The spelling of 210110000100 in words is "two hundred ten billion, one hundred ten million, one hundred", and thus it is an aban number.