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13310113032 = 2332184862681
BaseRepresentation
bin11000110010101100…
…00011010100001000
31021100121022210120100
430121112003110020
5204224342104112
610040425525400
7650560044156
oct143126032410
937317283510
1013310113032
115710236a17
1226b5643860
131341700938
14903a123d6
1552d7ac2dc
hex319583508

13310113032 has 24 divisors (see below), whose sum is σ = 36048222990. Its totient is φ = 4436704320.

The previous prime is 13310113021. The next prime is 13310113039. The reversal of 13310113032 is 23031101331.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 11494841796 + 1815271236 = 107214^2 + 42606^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 13310112996 and 13310113014.

It is not an unprimeable number, because it can be changed into a prime (13310113039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 92431269 + ... + 92431412.

Almost surely, 213310113032 is an apocalyptic number.

13310113032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13310113032 is an abundant number, since it is smaller than the sum of its proper divisors (22738109958).

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

13310113032 is a wasteful number, since it uses less digits than its factorization.

13310113032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184862693 (or 184862686 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13310113032 its reverse (23031101331), we get a palindrome (36341214363).

The spelling of 13310113032 in words is "thirteen billion, three hundred ten million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 184862681 369725362 554588043 739450724 1109176086 1478901448 1663764129 2218352172 3327528258 4436704344 6655056516 13310113032