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2402000013 = 37509224717
BaseRepresentation
bin1000111100101011…
…1001110010001101
320012101210020120110
42033022321302031
514404403000023
61034203110233
7113344443330
oct21712716215
96171706513
102402000013
111022959186
12570512379
132c38390aa
1418b020617
15e0d1da93
hex8f2b9c8d

2402000013 has 16 divisors (see below), whose sum is σ = 3667397760. Its totient is φ = 1369868736.

The previous prime is 2402000011. The next prime is 2402000021. The reversal of 2402000013 is 3100002042.

It is not a de Polignac number, because 2402000013 - 21 = 2402000011 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2402000011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101670 + ... + 123047.

It is an arithmetic number, because the mean of its divisors is an integer number (229212360).

Almost surely, 22402000013 is an apocalyptic number.

It is an amenable number.

2402000013 is a deficient number, since it is larger than the sum of its proper divisors (1265397747).

2402000013 is a wasteful number, since it uses less digits than its factorization.

2402000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225236.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2402000013 is about 49010.2031519968. The cubic root of 2402000013 is about 1339.2377065151.

Adding to 2402000013 its reverse (3100002042), we get a palindrome (5502002055).

The spelling of 2402000013 in words is "two billion, four hundred two million, thirteen", and thus it is an aban number.

Divisors: 1 3 7 21 509 1527 3563 10689 224717 674151 1573019 4719057 114380953 343142859 800666671 2402000013