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10104010100 = 2252531906417
BaseRepresentation
bin10010110100011111…
…01111010101110100
3222002011110220011022
421122033233111310
5131143111310400
64350340000312
7505246445252
oct113217572564
928064426138
1010104010100
1143154a5378
121b5b990098
13c50406302
146bbcb95d2
153e20a5b85
hex25a3ef574

10104010100 has 36 divisors (see below), whose sum is σ = 22339406124. Its totient is φ = 3965345280.

The previous prime is 10104010099. The next prime is 10104010117. The reversal of 10104010100 is 101040101.

It can be written as a sum of positive squares in 6 ways, for example, as 351262564 + 9752747536 = 18742^2 + 98756^2 .

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, 947909 + ... + 958508.

It is an arithmetic number, because the mean of its divisors is an integer number (620539059).

Almost surely, 210104010100 is an apocalyptic number.

10104010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10104010100 is an abundant number, since it is smaller than the sum of its proper divisors (12235396024).

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

10104010100 is a wasteful number, since it uses less digits than its factorization.

10104010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906484 (or 1906477 counting only the distinct ones).

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

Adding to 10104010100 its reverse (101040101), we get a palindrome (10205050201).

10104010100 divided by its reverse (101040101) gives a square (100 = 102).

The spelling of 10104010100 in words is "ten billion, one hundred four million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 1906417 3812834 7625668 9532085 19064170 38128340 47660425 95320850 101040101 190641700 202080202 404160404 505200505 1010401010 2020802020 2526002525 5052005050 10104010100