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252200013 = 31335918013
BaseRepresentation
bin11110000100001…
…00010001001101
3122120120002101020
433002010101031
51004030400023
641005304353
76151444002
oct1702042115
9576502336
10252200013
1111a3a666a
12705650b9
1340332ba0
14256cd8a9
151721ade3
hexf08444d

252200013 has 16 divisors (see below), whose sum is σ = 363162240. Its totient is φ = 154759104.

The previous prime is 252200009. The next prime is 252200017. The reversal of 252200013 is 310002252.

It is an interprime number because it is at equal distance from previous prime (252200009) and next prime (252200017).

It is not a de Polignac number, because 252200013 - 22 = 252200009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 252199965 and 252200001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252200017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4995 + ... + 23007.

It is an arithmetic number, because the mean of its divisors is an integer number (22697640).

Almost surely, 2252200013 is an apocalyptic number.

It is an amenable number.

252200013 is a deficient number, since it is larger than the sum of its proper divisors (110962227).

252200013 is a wasteful number, since it uses less digits than its factorization.

252200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18388.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 252200013 is about 15880.8064341834. The cubic root of 252200013 is about 631.8030258949.

Adding to 252200013 its reverse (310002252), we get a palindrome (562202265).

The spelling of 252200013 in words is "two hundred fifty-two million, two hundred thousand, thirteen".

Divisors: 1 3 13 39 359 1077 4667 14001 18013 54039 234169 702507 6466667 19400001 84066671 252200013