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13113010100 = 2252131130101
BaseRepresentation
bin11000011011001100…
…01010011110110100
31020211212102221011202
430031212022132310
5203323412310400
610005105152032
7642644514101
oct141546123664
936755387152
1013113010100
115619a52633
12265b62b618
13130c91c198
148c5785aa8
1551b3264d5
hex30d98a7b4

13113010100 has 18 divisors (see below), whose sum is σ = 28455232134. Its totient is φ = 5245204000.

The previous prime is 13113010039. The next prime is 13113010133. The reversal of 13113010100 is 101031131.

It is a happy number.

13113010100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 839029156 + 12273980944 = 28966^2 + 110788^2 .

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 5 ways as a sum of consecutive naturals, for example, 65564951 + ... + 65565150.

Almost surely, 213113010100 is an apocalyptic number.

13113010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113010100 is an abundant number, since it is smaller than the sum of its proper divisors (15342222034).

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

13113010100 is a wasteful number, since it uses less digits than its factorization.

13113010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131130115 (or 131130108 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 13113010100 its reverse (101031131), we get a palindrome (13214041231).

The spelling of 13113010100 in words is "thirteen billion, one hundred thirteen million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 131130101 262260202 524520404 655650505 1311301010 2622602020 3278252525 6556505050 13113010100