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13231231020 = 223257196773113
BaseRepresentation
bin11000101001010010…
…01001000000101100
31021011002220011210100
430110221021000230
5204044143343040
610024531111100
7645611415360
oct142451110054
937132804710
1013231231020
11567a759777
122693142490
13132b2723a7
148d735b2a0
155268c9b30
hex314a4902c

13231231020 has 576 divisors, whose sum is σ = 50113889280. Its totient is φ = 2759049216.

The previous prime is 13231231003. The next prime is 13231231033. The reversal of 13231231020 is 2013213231.

13231231020 is a `hidden beast` number, since 1 + 323 + 12 + 310 + 20 = 666.

It is a super-2 number, since 2×132312310202 (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 = 13231230984 and 13231231002.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117090484 + ... + 117090596.

It is an arithmetic number, because the mean of its divisors is an integer number (87003280).

Almost surely, 213231231020 is an apocalyptic number.

13231231020 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 13231231020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25056944640).

13231231020 is an abundant number, since it is smaller than the sum of its proper divisors (36882658260).

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

13231231020 is a wasteful number, since it uses less digits than its factorization.

13231231020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 289 counting only the distinct ones).

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

Adding to 13231231020 its reverse (2013213231), we get a palindrome (15244444251).

The spelling of 13231231020 in words is "thirteen billion, two hundred thirty-one million, two hundred thirty-one thousand, twenty".