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13103878144 = 21274171157
BaseRepresentation
bin11000011010000110…
…10101000000000000
31020211020020222111011
430031003111000000
5203314043100034
610004141330304
7642504061240
oct141503250000
936736228434
1013103878144
115614885665
122658566994
13130aa72766
148c4489b20
1551a620864
hex30d0d5000

13103878144 has 208 divisors, whose sum is σ = 31308754176. Its totient is φ = 5367398400.

The previous prime is 13103878127. The next prime is 13103878163. The reversal of 13103878144 is 44187830131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13103878097 and 13103878106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83464114 + ... + 83464270.

Almost surely, 213103878144 is an apocalyptic number.

13103878144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15654377088).

13103878144 is an abundant number, since it is smaller than the sum of its proper divisors (18204876032).

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

13103878144 is an equidigital number, since it uses as much as digits as its factorization.

13103878144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 13103878144 in words is "thirteen billion, one hundred three million, eight hundred seventy-eight thousand, one hundred forty-four".