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13002312312 = 23321116417061
BaseRepresentation
bin11000001101111111…
…11000101001111000
31020120011010220100200
430012333320221320
5203112042443222
65550112402200
7640131555033
oct140677705170
936504126320
1013002312312
115572514760
12262a546360
1312c2a01332
148b4bac01a
1551175beac
hex306ff8a78

13002312312 has 48 divisors (see below), whose sum is σ = 38415925080. Its totient is φ = 3940094400.

The previous prime is 13002312307. The next prime is 13002312331. The reversal of 13002312312 is 21321320031.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8207739 + ... + 8209322.

Almost surely, 213002312312 is an apocalyptic number.

13002312312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13002312312 is an abundant number, since it is smaller than the sum of its proper divisors (25413612768).

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

13002312312 is a wasteful number, since it uses less digits than its factorization.

13002312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16417084 (or 16417077 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13002312312 its reverse (21321320031), we get a palindrome (34323632343).

The spelling of 13002312312 in words is "thirteen billion, two million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 16417061 32834122 49251183 65668244 98502366 131336488 147753549 180587671 197004732 295507098 361175342 394009464 541763013 591014196 722350684 1083526026 1182028392 1444701368 1625289039 2167052052 3250578078 4334104104 6501156156 13002312312