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13000302312 = 2332831914061
BaseRepresentation
bin11000001101110000…
…01101111011101000
31020120000100210011020
430012320031323220
5203111034133222
65550001332440
7640105514004
oct140670157350
936500323136
1013000302312
1155713715a8
122629937120
1312c247949a
148b4807704
155114b165c
hex306e0dee8

13000302312 has 32 divisors (see below), whose sum is σ = 32615616480. Its totient is φ = 4318119360.

The previous prime is 13000302269. The next prime is 13000302317. The reversal of 13000302312 is 21320300031.

13000302312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13000302291 and 13000302300.

It is not an unprimeable number, because it can be changed into a prime (13000302317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 950239 + ... + 963822.

It is an arithmetic number, because the mean of its divisors is an integer number (1019238015).

Almost surely, 213000302312 is an apocalyptic number.

13000302312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13000302312 is an abundant number, since it is smaller than the sum of its proper divisors (19615314168).

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

13000302312 is a wasteful number, since it uses less digits than its factorization.

13000302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1914353 (or 1914349 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13000302312 its reverse (21320300031), we get a palindrome (34320602343).

The spelling of 13000302312 in words is "thirteen billion, three hundred two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 283 566 849 1132 1698 2264 3396 6792 1914061 3828122 5742183 7656244 11484366 15312488 22968732 45937464 541679263 1083358526 1625037789 2166717052 3250075578 4333434104 6500151156 13000302312