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210110100100 = 225214914101349
BaseRepresentation
bin1100001110101110001…
…0011011001010000100
3202002022221012222120021
43003223202123022010
511420301141200400
6240305004344524
721115503245335
oct3035342331204
9662287188507
10210110100100
118111a74602a
1234879545144
1316a75a78424
14a252b0428c
1556ead2e71a
hex30eb89b284

210110100100 has 36 divisors (see below), whose sum is σ = 458998942500. Its totient is φ = 83479980160.

The previous prime is 210110100041. The next prime is 210110100133. The reversal of 210110100100 is 1001011012.

It can be written as a sum of positive squares in 6 ways, for example, as 7248138496 + 202861961604 = 85136^2 + 450402^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7035775 + ... + 7065574.

It is an arithmetic number, because the mean of its divisors is an integer number (12749970625).

Almost surely, 2210110100100 is an apocalyptic number.

210110100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210110100100 is an abundant number, since it is smaller than the sum of its proper divisors (248888842400).

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

210110100100 is a wasteful number, since it uses less digits than its factorization.

210110100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14101512 (or 14101505 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 210110100100 its reverse (1001011012), we get a palindrome (211111111112).

The spelling of 210110100100 in words is "two hundred ten billion, one hundred ten million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 14101349 28202698 56405396 70506745 141013490 282026980 352533725 705067450 1410134900 2101101001 4202202002 8404404004 10505505005 21011010010 42022020020 52527525025 105055050050 210110100100