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10212220100 = 2252102122201
BaseRepresentation
bin10011000001011001…
…00001110011000100
3222100201002112101002
421200230201303010
5131403312020400
64405203152432
7511032303305
oct114054416304
928321075332
1010212220100
114370594125
121b90075718
13c699629b4
146cc4067ac
153eb82ced5
hex260b21cc4

10212220100 has 18 divisors (see below), whose sum is σ = 22160517834. Its totient is φ = 4084888000.

The previous prime is 10212220097. The next prime is 10212220141. The reversal of 10212220100 is 102221201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1206589696 + 9005630404 = 34736^2 + 94898^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51061001 + ... + 51061200.

Almost surely, 210212220100 is an apocalyptic number.

10212220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212220100 is an abundant number, since it is smaller than the sum of its proper divisors (11948297734).

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

10212220100 is a wasteful number, since it uses less digits than its factorization.

10212220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102122215 (or 102122208 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10212220100 its reverse (102221201), we get a palindrome (10314441301).

The spelling of 10212220100 in words is "ten billion, two hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102122201 204244402 408488804 510611005 1021222010 2042444020 2553055025 5106110050 10212220100