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202520113 = 1378531733
BaseRepresentation
bin11000001001000…
…11011000110001
3112010002002100221
430010203120301
5403321120423
632032413041
75006251435
oct1404433061
9463062327
10202520113
11a43543a4
12579a7181
1332c5a3b3
141cc7a9c5
1512ba5e5d
hexc123631

202520113 has 8 divisors (see below), whose sum is σ = 204355368. Its totient is φ = 200690304.

The previous prime is 202520089. The next prime is 202520119. The reversal of 202520113 is 311025202.

It can be written as a sum of positive squares in 4 ways, for example, as 3794704 + 198725409 = 1948^2 + 14097^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 202520113 - 217 = 202389041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202520119) 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 7 ways as a sum of consecutive naturals, for example, 115995 + ... + 117727.

It is an arithmetic number, because the mean of its divisors is an integer number (25544421).

Almost surely, 2202520113 is an apocalyptic number.

It is an amenable number.

202520113 is a deficient number, since it is larger than the sum of its proper divisors (1835255).

202520113 is a wasteful number, since it uses less digits than its factorization.

202520113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2723.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 202520113 is about 14230.9561519948. The cubic root of 202520113 is about 587.2495874410.

Adding to 202520113 its reverse (311025202), we get a palindrome (513545315).

The spelling of 202520113 in words is "two hundred two million, five hundred twenty thousand, one hundred thirteen".

Divisors: 1 137 853 1733 116861 237421 1478249 202520113