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2013132020 = 225131768371
BaseRepresentation
bin111011111111101…
…1111010011110100
312012022001200222012
41313333133103310
513110330211040
6531432223352
7100613224364
oct16777372364
95168050865
102013132020
119433a6979
1248223ab58
132610c46a3
141515169a4
15bbb08865
hex77fdf4f4

2013132020 has 24 divisors (see below), whose sum is σ = 4259854368. Its totient is φ = 799104800.

The previous prime is 2013131999. The next prime is 2013132047. The reversal of 2013132020 is 202313102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2013131986 and 2013132004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381566 + ... + 386805.

It is an arithmetic number, because the mean of its divisors is an integer number (177493932).

Almost surely, 22013132020 is an apocalyptic number.

2013132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013132020 is an abundant number, since it is smaller than the sum of its proper divisors (2246722348).

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

2013132020 is a wasteful number, since it uses less digits than its factorization.

2013132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768511 (or 768509 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2013132020 is about 44867.9397788666. The cubic root of 2013132020 is about 1262.6725878489.

Adding to 2013132020 its reverse (202313102), we get a palindrome (2215445122).

The spelling of 2013132020 in words is "two billion, thirteen million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 131 262 524 655 1310 2620 768371 1536742 3073484 3841855 7683710 15367420 100656601 201313202 402626404 503283005 1006566010 2013132020