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13040312310 = 234516099151
BaseRepresentation
bin11000010010100001…
…10101111111110110
31020122210122111120000
430021100311333312
5203201304443220
65553551052130
7641102553144
oct141120657766
936583574500
1013040312310
115591a09713
12263b211046
1312ca84773c
148b9c60594
15514c66390
hex309435ff6

13040312310 has 40 divisors (see below), whose sum is σ = 35063953056. Its totient is φ = 3477416400.

The previous prime is 13040312297. The next prime is 13040312317. The reversal of 13040312310 is 1321304031.

13040312310 is a `hidden beast` number, since 1 + 3 + 0 + 40 + 312 + 310 = 666.

It is a super-2 number, since 2×130403123102 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13040312317) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 8048766 + ... + 8050385.

Almost surely, 213040312310 is an apocalyptic number.

13040312310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13040312310 is an abundant number, since it is smaller than the sum of its proper divisors (22023640746).

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

13040312310 is a wasteful number, since it uses less digits than its factorization.

13040312310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16099170 (or 16099161 counting only the distinct ones).

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

Adding to 13040312310 its reverse (1321304031), we get a palindrome (14361616341).

The spelling of 13040312310 in words is "thirteen billion, forty million, three hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 16099151 32198302 48297453 80495755 96594906 144892359 160991510 241487265 289784718 434677077 482974530 724461795 869354154 1304031231 1448923590 2173385385 2608062462 4346770770 6520156155 13040312310