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13431135540 = 22351012216359
BaseRepresentation
bin11001000001000111…
…01101110100110100
31021200001001101020110
430200203231310310
5210001332314130
610100431503020
7653556524364
oct144043556464
937601041213
1013431135540
115772586a19
12272a087a70
1313607c50a4
14915b169a4
15539215ab0
hex3208edd34

13431135540 has 48 divisors (see below), whose sum is σ = 37979544960. Its totient is φ = 3546172800.

The previous prime is 13431135493. The next prime is 13431135559. The reversal of 13431135540 is 4553113431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13431135498 and 13431135507.

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, 1102120 + ... + 1114239.

It is an arithmetic number, because the mean of its divisors is an integer number (791240520).

Almost surely, 213431135540 is an apocalyptic number.

13431135540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13431135540 is an abundant number, since it is smaller than the sum of its proper divisors (24548409420).

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

13431135540 is a wasteful number, since it uses less digits than its factorization.

13431135540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216472 (or 2216470 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 13431135540 its reverse (4553113431), we get a palindrome (17984248971).

The spelling of 13431135540 in words is "thirteen billion, four hundred thirty-one million, one hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 2216359 4432718 6649077 8865436 11081795 13298154 22163590 26596308 33245385 44327180 66490770 132981540 223852259 447704518 671556777 895409036 1119261295 1343113554 2238522590 2686227108 3357783885 4477045180 6715567770 13431135540