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13232010042 = 2337911327449
BaseRepresentation
bin11000101001011000…
…00111001100111010
31021011011100202102000
430110230013030322
5204044343310132
610024555521430
7645621141516
oct142454071472
937134322360
1013232010042
115680140a99
122693459276
13132b485b54
148d74c1146
155269d087c
hex314b0733a

13232010042 has 64 divisors (see below), whose sum is σ = 30041280000. Its totient is φ = 4316143104.

The previous prime is 13232010019. The next prime is 13232010059. The reversal of 13232010042 is 24001023231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13232009997 and 13232010024.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468334 + ... + 495782.

It is an arithmetic number, because the mean of its divisors is an integer number (469395000).

Almost surely, 213232010042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13232010042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15020640000).

13232010042 is an abundant number, since it is smaller than the sum of its proper divisors (16809269958).

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

13232010042 is a wasteful number, since it uses less digits than its factorization.

13232010042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27652 (or 27646 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 13232010042 its reverse (24001023231), we get a palindrome (37233033273).

The spelling of 13232010042 in words is "thirteen billion, two hundred thirty-two million, ten thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 79 113 158 226 237 339 474 678 711 1017 1422 2034 2133 3051 4266 6102 8927 17854 26781 27449 53562 54898 80343 82347 160686 164694 241029 247041 482058 494082 741123 1482246 2168471 3101737 4336942 6203474 6505413 9305211 13010826 18610422 19516239 27915633 39032478 55831266 58548717 83746899 117097434 167493798 245037223 490074446 735111669 1470223338 2205335007 4410670014 6616005021 13232010042