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13311983232 = 2736331431
BaseRepresentation
bin11000110010111010…
…01011111010000000
31021100201211211000000
430121131023322000
5204230331430412
610040534000000
7650611663512
oct143135137200
937321754000
1013311983232
1157112a4039
1226b61a6000
131341c06c72
14903d7bbb2
1552da2b4dc
hex31974be80

13311983232 has 224 divisors, whose sum is σ = 39974420160. Its totient is φ = 4413657600.

The previous prime is 13311983231. The next prime is 13311983233. The reversal of 13311983232 is 23238911331.

It is a happy number.

13311983232 is a `hidden beast` number, since 1 + 331 + 1 + 98 + 3 + 232 = 666.

It is an interprime number because it is at equal distance from previous prime (13311983231) and next prime (13311983233).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (13311983231) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30886057 + ... + 30886487.

Almost surely, 213311983232 is an apocalyptic number.

13311983232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13311983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19987210080).

13311983232 is an abundant number, since it is smaller than the sum of its proper divisors (26662436928).

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

13311983232 is an frugal number, since it uses more digits than its factorization.

13311983232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 767 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 13311983232 in words is "thirteen billion, three hundred eleven million, nine hundred eighty-three thousand, two hundred thirty-two".