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10013202100 = 2252119102911
BaseRepresentation
bin10010101001101010…
…10101011010110100
3221211211121101000001
421110311111122310
5131001334431400
64333333401044
7503064546016
oct112465253264
927754541001
1010013202100
114279211a40
121b35499184
13c37660675
146adbdc1b6
153d9119a6a
hex254d556b4

10013202100 has 36 divisors (see below), whose sum is σ = 23703982848. Its totient is φ = 3641164000.

The previous prime is 10013202029. The next prime is 10013202119. The reversal of 10013202100 is 120231001.

10013202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4550356 + ... + 4552555.

It is an arithmetic number, because the mean of its divisors is an integer number (658443968).

Almost surely, 210013202100 is an apocalyptic number.

10013202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013202100 is an abundant number, since it is smaller than the sum of its proper divisors (13690780748).

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

10013202100 is a wasteful number, since it uses less digits than its factorization.

10013202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9102936 (or 9102929 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10013202100 its reverse (120231001), we get a palindrome (10133433101).

The spelling of 10013202100 in words is "ten billion, thirteen million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 9102911 18205822 36411644 45514555 91029110 100132021 182058220 200264042 227572775 400528084 455145550 500660105 910291100 1001320210 2002640420 2503300525 5006601050 10013202100