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13012233312 = 2531337327953
BaseRepresentation
bin11000001111001011…
…01110110001100000
31020120211210221102010
430013211232301200
5203122112431222
65551105152520
7640312105161
oct140745566140
936524727363
1013012233312
115578080531
12263192b740
1312c4a95c50
148b6231768
1551256b80c
hex30796ec60

13012233312 has 96 divisors (see below), whose sum is σ = 36884520288. Its totient is φ = 3992887296.

The previous prime is 13012233301. The next prime is 13012233359. The reversal of 13012233312 is 21333221031.

It is a tau number, because it is divible by the number of its divisors (96).

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, 451528 + ... + 479480.

It is an arithmetic number, because the mean of its divisors is an integer number (384213753).

Almost surely, 213012233312 is an apocalyptic number.

13012233312 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 13012233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18442260144).

13012233312 is an abundant number, since it is smaller than the sum of its proper divisors (23872286976).

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

13012233312 is a wasteful number, since it uses less digits than its factorization.

13012233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28352 (or 28344 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13012233312 its reverse (21333221031), we get a palindrome (34345454343).

The spelling of 13012233312 in words is "thirteen billion, twelve million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 373 416 624 746 1119 1248 1492 2238 2984 4476 4849 5968 8952 9698 11936 14547 17904 19396 27953 29094 35808 38792 55906 58188 77584 83859 111812 116376 155168 167718 223624 232752 335436 363389 447248 465504 670872 726778 894496 1090167 1341744 1453556 2180334 2683488 2907112 4360668 5814224 8721336 10426469 11628448 17442672 20852938 31279407 34885344 41705876 62558814 83411752 125117628 135544097 166823504 250235256 271088194 333647008 406632291 500470512 542176388 813264582 1000941024 1084352776 1626529164 2168705552 3253058328 4337411104 6506116656 13012233312