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10101212200 = 235250506061
BaseRepresentation
bin10010110100001010…
…00100010000101000
3222001222012202011101
421122011010100220
5131141402242300
64350200011144
7505213613152
oct113205042050
928058182141
1010101212200
114313964262
121b5aa60ab4
13c4c966951
146bb78bad2
153e1c01b6a
hex25a144428

10101212200 has 24 divisors (see below), whose sum is σ = 23485318830. Its totient is φ = 4040484800.

The previous prime is 10101212161. The next prime is 10101212221. The reversal of 10101212200 is 221210101.

It can be written as a sum of positive squares in 3 ways, for example, as 7016742756 + 3084469444 = 83766^2 + 55538^2 .

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 (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25252831 + ... + 25253230.

Almost surely, 210101212200 is an apocalyptic number.

10101212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101212200 is an abundant number, since it is smaller than the sum of its proper divisors (13384106630).

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

10101212200 is a wasteful number, since it uses less digits than its factorization.

10101212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50506077 (or 50506068 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10101212200 its reverse (221210101), we get a palindrome (10322422301).

The spelling of 10101212200 in words is "ten billion, one hundred one million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 50506061 101012122 202024244 252530305 404048488 505060610 1010121220 1262651525 2020242440 2525303050 5050606100 10101212200