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13312330020 = 22335114674799
BaseRepresentation
bin11000110010111101…
…00000100100100100
31021100202111102201000
430121132200210210
5204230424030040
610040545233300
7650614636533
oct143136404444
937322442630
1013312330020
115711510640
1226b6332830
131341cc8a72
1490402c31a
1552da99130
hex3197a0924

13312330020 has 192 divisors, whose sum is σ = 45287424000. Its totient is φ = 3219649920.

The previous prime is 13312330013. The next prime is 13312330043. The reversal of 13312330020 is 2003321331.

13312330020 is a `hidden beast` number, since 1 + 3 + 312 + 330 + 0 + 20 = 666.

It is a super-2 number, since 2×133123300202 (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 junction number, because it is equal to n+sod(n) for n = 13312329975 and 13312330002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2771581 + ... + 2776379.

It is an arithmetic number, because the mean of its divisors is an integer number (235872000).

Almost surely, 213312330020 is an apocalyptic number.

13312330020 is a gapful number since it is divisible by the number (10) 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 13312330020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22643712000).

13312330020 is an abundant number, since it is smaller than the sum of its proper divisors (31975093980).

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

13312330020 is a wasteful number, since it uses less digits than its factorization.

13312330020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5295 (or 5287 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13312330020 its reverse (2003321331), we get a palindrome (15315651351).

The spelling of 13312330020 in words is "thirteen billion, three hundred twelve million, three hundred thirty thousand, twenty".