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202112131 = 13139911113
BaseRepresentation
bin11000000101111…
…11110010000011
3112002022100201111
430002333302003
5403220042011
632015544151
75002632124
oct1402776203
9462270644
10202112131
11a40a5921
125782b057
1332b467a0
141cbb204b
1512b25121
hexc0bfc83

202112131 has 8 divisors (see below), whose sum is σ = 217834400. Its totient is φ = 186414912.

The previous prime is 202112117. The next prime is 202112149. The reversal of 202112131 is 131211202.

202112131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 202112131 - 27 = 202112003 is a prime.

It is a super-2 number, since 2×2021121312 = 81698626994722322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202112191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12631 + ... + 23743.

It is an arithmetic number, because the mean of its divisors is an integer number (27229300).

Almost surely, 2202112131 is an apocalyptic number.

202112131 is a deficient number, since it is larger than the sum of its proper divisors (15722269).

202112131 is a wasteful number, since it uses less digits than its factorization.

202112131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12525.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 202112131 is about 14216.6146110809. The cubic root of 202112131 is about 586.8549791840.

Adding to 202112131 its reverse (131211202), we get a palindrome (333323333).

The spelling of 202112131 in words is "two hundred two million, one hundred twelve thousand, one hundred thirty-one".

Divisors: 1 13 1399 11113 18187 144469 15547087 202112131