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210110102100 = 223252233455669
BaseRepresentation
bin1100001110101110001…
…0011011101001010100
3202002022221020002022100
43003223202123221110
511420301141231400
6240305004402100
721115503254223
oct3035342335124
9662287202270
10210110102100
118111a747588
1234879546330
1316a75a79302
14a252b04cba
1556ead30100
hex30eb89ba54

210110102100 has 54 divisors (see below), whose sum is σ = 658578445070. Its totient is φ = 56029360320.

The previous prime is 210110102093. The next prime is 210110102101. The reversal of 210110102100 is 1201011012.

It is a happy number.

210110102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 15422659344 + 194687442756 = 124188^2 + 441234^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210110102101) 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 17 ways as a sum of consecutive naturals, for example, 116726935 + ... + 116728734.

Almost surely, 2210110102100 is an apocalyptic number.

210110102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210110102100 is an abundant number, since it is smaller than the sum of its proper divisors (448468342970).

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

210110102100 is a wasteful number, since it uses less digits than its factorization.

210110102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233455689 (or 233455679 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 210110102100 its reverse (1201011012), we get a palindrome (211311113112).

The spelling of 210110102100 in words is "two hundred ten billion, one hundred ten million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 233455669 466911338 700367007 933822676 1167278345 1400734014 2101101021 2334556690 2801468028 3501835035 4202202042 4669113380 5836391725 7003670070 8404404084 10505505105 11672783450 14007340140 17509175175 21011010210 23345566900 35018350350 42022020420 52527525525 70036700700 105055051050 210110102100