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210112212100 = 22527417320983
BaseRepresentation
bin1100001110101110101…
…0011110110010000100
3202002100002012021200111
43003223222132302010
511420302211241400
6240305121522404
721115530222640
oct3035352366204
9662302167614
10210112212100
118112095888a
123487a1a3404
1316a7633782b
14a2530d3c20
1556eb0ea3ba
hex30eba9ec84

210112212100 has 72 divisors (see below), whose sum is σ = 533787585408. Its totient is φ = 70281427200.

The previous prime is 210112212049. The next prime is 210112212137. The reversal of 210112212100 is 1212211012.

210112212100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3631792 + ... + 3689191.

It is an arithmetic number, because the mean of its divisors is an integer number (7413716464).

Almost surely, 2210112212100 is an apocalyptic number.

210112212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210112212100 is an abundant number, since it is smaller than the sum of its proper divisors (323675373308).

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

210112212100 is a wasteful number, since it uses less digits than its factorization.

210112212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7321045 (or 7321038 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 210112212100 its reverse (1212211012), we get a palindrome (211324423112).

The spelling of 210112212100 in words is "two hundred ten billion, one hundred twelve million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5740 7175 14350 28700 7320983 14641966 29283932 36604915 51246881 73209830 102493762 146419660 183024575 204987524 256234405 300160303 366049150 512468810 600320606 732098300 1024937620 1200641212 1281172025 1500801515 2101122121 2562344050 3001603030 4202244242 5124688100 6003206060 7504007575 8404488484 10505610605 15008015150 21011221210 30016030300 42022442420 52528053025 105056106050 210112212100