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10213014100 = 2252293521729
BaseRepresentation
bin10011000001011111…
…00011101001010100
3222100202120212112111
421200233203221110
5131404012422400
64405232200404
7511042121212
oct114057435124
928322525474
1010213014100
114370a86723
121b90399104
13c69b80213
146cc571cb2
153eb9383ba
hex260be3a54

10213014100 has 36 divisors (see below), whose sum is σ = 22926462300. Its totient is φ = 3944335360.

The previous prime is 10213014073. The next prime is 10213014113. The reversal of 10213014100 is 141031201.

It can be written as a sum of positive squares in 6 ways, for example, as 1097729424 + 9115284676 = 33132^2 + 95474^2 .

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, 1757965 + ... + 1763764.

It is an arithmetic number, because the mean of its divisors is an integer number (636846175).

Almost surely, 210213014100 is an apocalyptic number.

10213014100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213014100 is an abundant number, since it is smaller than the sum of its proper divisors (12713448200).

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

10213014100 is a wasteful number, since it uses less digits than its factorization.

10213014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521772 (or 3521765 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10213014100 its reverse (141031201), we get a palindrome (10354045301).

The spelling of 10213014100 in words is "ten billion, two hundred thirteen million, fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 3521729 7043458 14086916 17608645 35217290 70434580 88043225 102130141 176086450 204260282 352172900 408520564 510650705 1021301410 2042602820 2553253525 5106507050 10213014100