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13232121312 = 253472932651
BaseRepresentation
bin11000101001011001…
…00010010111100000
31021011011120102001010
430110230202113200
5204044410340222
610025002140520
7645622114104
oct142454422740
937134512033
1013232121312
115680207653
1226934b1740
13132b4c46a7
148d750d904
15526a0380c
hex314b225e0

13232121312 has 48 divisors (see below), whose sum is σ = 35473358592. Its totient is φ = 4316860800.

The previous prime is 13232121311. The next prime is 13232121317. The reversal of 13232121312 is 21312123231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13232121311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1461814 + ... + 1470837.

It is an arithmetic number, because the mean of its divisors is an integer number (739028304).

Almost surely, 213232121312 is an apocalyptic number.

13232121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13232121312 is an abundant number, since it is smaller than the sum of its proper divisors (22241237280).

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

13232121312 is a wasteful number, since it uses less digits than its factorization.

13232121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932711 (or 2932703 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

Adding to 13232121312 its reverse (21312123231), we get a palindrome (34544244543).

The spelling of 13232121312 in words is "thirteen billion, two hundred thirty-two million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 2932651 5865302 8797953 11730604 17595906 23461208 35191812 46922416 70383624 93844832 137834597 140767248 275669194 281534496 413503791 551338388 827007582 1102676776 1654015164 2205353552 3308030328 4410707104 6616060656 13232121312