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10210210100 = 2252149685249
BaseRepresentation
bin10011000001001001…
…10111000100110100
3222100120022102011122
421200210313010310
5131402303210400
64405052123112
7511006232246
oct114044670464
928316272148
1010210210100
11436a440a72
121b8b466498
13c6940ab4c
146cc042096
153eb582685
hex260937134

10210210100 has 36 divisors (see below), whose sum is σ = 22304887500. Its totient is φ = 4056668160.

The previous prime is 10210210093. The next prime is 10210210141. The reversal of 10210210100 is 101201201.

It can be written as a sum of positive squares in 6 ways, for example, as 24960016 + 10185250084 = 4996^2 + 100922^2 .

It is a super-2 number, since 2×102102101002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327725 + ... + 357524.

Almost surely, 210210210100 is an apocalyptic number.

10210210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210210100 is an abundant number, since it is smaller than the sum of its proper divisors (12094677400).

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

10210210100 is a wasteful number, since it uses less digits than its factorization.

10210210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685412 (or 685405 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10210210100 its reverse (101201201), we get a palindrome (10311411301).

The spelling of 10210210100 in words is "ten billion, two hundred ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 149 298 596 745 1490 2980 3725 7450 14900 685249 1370498 2740996 3426245 6852490 13704980 17131225 34262450 68524900 102102101 204204202 408408404 510510505 1021021010 2042042020 2552552525 5105105050 10210210100