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1313132020 = 225173862153
BaseRepresentation
bin100111001000100…
…1100110111110100
310101111220000111021
41032101030313310
510142130211040
6334144550524
744353303144
oct11621146764
93344800437
101313132020
11614257582
12307922444
1317c0852c5
14c657c924
157a43624a
hex4e44cdf4

1313132020 has 24 divisors (see below), whose sum is σ = 2919788424. Its totient is φ = 494355456.

The previous prime is 1313132017. The next prime is 1313132057. The reversal of 1313132020 is 202313131.

It can be written as a sum of positive squares in 4 ways, for example, as 50608996 + 1262523024 = 7114^2 + 35532^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1313131985 and 1313132003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1930737 + ... + 1931416.

It is an arithmetic number, because the mean of its divisors is an integer number (121657851).

Almost surely, 21313132020 is an apocalyptic number.

1313132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313132020 is an abundant number, since it is smaller than the sum of its proper divisors (1606656404).

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

1313132020 is a wasteful number, since it uses less digits than its factorization.

1313132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3862179 (or 3862177 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 1313132020 is about 36237.1635203419. The cubic root of 1313132020 is about 1095.0554992269.

Adding to 1313132020 its reverse (202313131), we get a palindrome (1515445151).

The spelling of 1313132020 in words is "one billion, three hundred thirteen million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 3862153 7724306 15448612 19310765 38621530 65656601 77243060 131313202 262626404 328283005 656566010 1313132020