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12231310032 = 243284939653
BaseRepresentation
bin10110110010000101…
…01111101011010000
31011120102100221001200
423121002233223100
5200022203410112
65341411231200
7612050264004
oct133102575320
934512327050
1012231310032
11520728a297
1224542a8500
1311cc062176
14840630704
154b8c11cdc
hex2d90afad0

12231310032 has 30 divisors (see below), whose sum is σ = 34230680562. Its totient is φ = 4077103296.

The previous prime is 12231310031. The next prime is 12231310037. The reversal of 12231310032 is 23001313221.

12231310032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 8776691856 + 3454618176 = 93684^2 + 58776^2 .

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 = 12231309987 and 12231310014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231310031) 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 5 ways as a sum of consecutive naturals, for example, 42469683 + ... + 42469970.

Almost surely, 212231310032 is an apocalyptic number.

12231310032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12231310032 is an abundant number, since it is smaller than the sum of its proper divisors (21999370530).

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

12231310032 is a wasteful number, since it uses less digits than its factorization.

12231310032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84939667 (or 84939658 counting only the distinct ones).

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

Adding to 12231310032 its reverse (23001313221), we get a palindrome (35232623253).

The spelling of 12231310032 in words is "twelve billion, two hundred thirty-one million, three hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 84939653 169879306 254818959 339758612 509637918 679517224 764456877 1019275836 1359034448 1528913754 2038551672 3057827508 4077103344 6115655016 12231310032