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13103534232 = 23322914474337
BaseRepresentation
bin11000011010000100…
…00001000010011000
31020211012121111201200
430031002001002120
5203314001043412
610004130114200
7642501126465
oct141502010230
936735544650
1013103534232
115614670238
12265841b960
13130a982069
148c43da66c
1551a5a39dc
hex30d081098

13103534232 has 96 divisors (see below), whose sum is σ = 36746330400. Its totient is φ = 4213343232.

The previous prime is 13103534231. The next prime is 13103534239. The reversal of 13103534232 is 23243530131.

13103534232 is a `hidden beast` number, since 1 + 3 + 103 + 534 + 23 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13103534196 and 13103534205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13103534231) 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, 3019168 + ... + 3023504.

It is an arithmetic number, because the mean of its divisors is an integer number (382774275).

Almost surely, 213103534232 is an apocalyptic number.

13103534232 is a gapful number since it is divisible by the number (12) 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 13103534232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18373165200).

13103534232 is an abundant number, since it is smaller than the sum of its proper divisors (23642796168).

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

13103534232 is a wasteful number, since it uses less digits than its factorization.

13103534232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 13103534232 in words is "thirteen billion, one hundred three million, five hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 1447 2088 2894 4337 4341 5788 8674 8682 11576 13011 13023 17348 17364 26022 26046 34696 34728 39033 41963 52044 52092 78066 83926 104088 104184 125773 125889 156132 167852 251546 251778 312264 335704 377319 377667 503092 503556 754638 755334 1006184 1007112 1131957 1509276 1510668 2263914 3018552 3021336 4527828 6275639 9055656 12551278 18826917 25102556 37653834 50205112 56480751 75307668 112961502 150615336 181993531 225923004 363987062 451846008 545980593 727974124 1091961186 1455948248 1637941779 2183922372 3275883558 4367844744 6551767116 13103534232