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210111012100 = 2252111711235883
BaseRepresentation
bin1100001110101110010…
…1111001110100000100
3202002022222221022121001
43003223211321310010
511420301404341400
6240305040103044
721115514064253
oct3035345716404
9662288838531
10210111012100
1181120209250
1234879904a84
1316a76007582
14a252ca079a
1556eae5ea6a
hex30eb979d04

210111012100 has 72 divisors (see below), whose sum is σ = 526648354848. Its totient is φ = 71909644800.

The previous prime is 210111012079. The next prime is 210111012113. The reversal of 210111012100 is 1210111012.

210111012100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5599242 + ... + 5636641.

It is an arithmetic number, because the mean of its divisors is an integer number (7314560484).

Almost surely, 2210111012100 is an apocalyptic number.

210111012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210111012100 is an abundant number, since it is smaller than the sum of its proper divisors (316537342748).

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

210111012100 is a wasteful number, since it uses less digits than its factorization.

210111012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235925 (or 11235918 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 210111012100 its reverse (1210111012), we get a palindrome (211321123112).

The spelling of 210111012100 in words is "two hundred ten billion, one hundred eleven million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 3740 4675 9350 18700 11235883 22471766 44943532 56179415 112358830 123594713 191010011 224717660 247189426 280897075 382020022 494378852 561794150 617973565 764040044 955050055 1123588300 1235947130 1910100110 2101110121 2471894260 3089867825 3820200220 4202220242 4775250275 6179735650 8404440484 9550500550 10505550605 12359471300 19101001100 21011101210 42022202420 52527753025 105055506050 210111012100