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14013255100 = 225213101106727
BaseRepresentation
bin11010000110100000…
…10100110110111100
31100011121102010011011
431003100110312330
5212144343130400
610234304405004
71004155463065
oct150320246674
940147363134
1014013255100
115a41131a69
122871016764
1314242a0230
1496d16756c
155703a08ba
hex343414dbc

14013255100 has 72 divisors (see below), whose sum is σ = 33072445728. Its totient is φ = 5122848000.

The previous prime is 14013255083. The next prime is 14013255101. The reversal of 14013255100 is 155231041.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14013255101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77937 + ... + 184663.

It is an arithmetic number, because the mean of its divisors is an integer number (459339524).

Almost surely, 214013255100 is an apocalyptic number.

14013255100 is a gapful number since it is divisible by the number (10) 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 14013255100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16536222864).

14013255100 is an abundant number, since it is smaller than the sum of its proper divisors (19059190628).

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

14013255100 is a wasteful number, since it uses less digits than its factorization.

14013255100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106855 (or 106848 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 14013255100 its reverse (155231041), we get a palindrome (14168486141).

The spelling of 14013255100 in words is "fourteen billion, thirteen million, two hundred fifty-five thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 101 130 202 260 325 404 505 650 1010 1300 1313 2020 2525 2626 5050 5252 6565 10100 13130 26260 32825 65650 106727 131300 213454 426908 533635 1067270 1387451 2134540 2668175 2774902 5336350 5549804 6937255 10672700 10779427 13874510 21558854 27749020 34686275 43117708 53897135 69372550 107794270 138745100 140132551 215588540 269485675 280265102 538971350 560530204 700662755 1077942700 1401325510 2802651020 3503313775 7006627550 14013255100