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13431361068 = 2232373093363
BaseRepresentation
bin11001000001001001…
…00100111000101100
31021200001110211121100
430200210210320230
5210001412023233
610100440403100
7653561454036
oct144044447054
937601424540
1013431361068
115772720404
12272a176490
131360873938
14915b74c56
1553925c813
hex320924e2c

13431361068 has 18 divisors (see below), whose sum is σ = 33951496124. Its totient is φ = 4477120344.

The previous prime is 13431361063. The next prime is 13431361081. The reversal of 13431361068 is 86016313431.

13431361068 is a `hidden beast` number, since 1 + 3 + 4 + 31 + 3 + 610 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×134313610682 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 373093363 = 13431361068 / (1 + 3 + 4 + 3 + 1 + 3 + 6 + 1 + 0 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (13431361063) 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, 186546646 + ... + 186546717.

Almost surely, 213431361068 is an apocalyptic number.

13431361068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13431361068 is an abundant number, since it is smaller than the sum of its proper divisors (20520135056).

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

13431361068 is a wasteful number, since it uses less digits than its factorization.

13431361068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373093373 (or 373093368 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 13431361068 its reverse (86016313431), we get a palindrome (99447674499).

The spelling of 13431361068 in words is "thirteen billion, four hundred thirty-one million, three hundred sixty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 373093363 746186726 1119280089 1492373452 2238560178 3357840267 4477120356 6715680534 13431361068