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202131007 = 1324116449
BaseRepresentation
bin11000000110001…
…00011000111111
3112002100022121121
430003010120333
5403221143012
632020211411
75003041141
oct1403043077
9462308547
10202131007
11a4109021
1257839b67
1332b52260
141cbb8c91
1512b2aa07
hexc0c463f

202131007 has 8 divisors (see below), whose sum is σ = 217803600. Its totient is φ = 186476160.

The previous prime is 202130993. The next prime is 202131019. The reversal of 202131007 is 700131202.

It is a happy number.

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

It is not a de Polignac number, because 202131007 - 223 = 193742399 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202131707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28119 + ... + 34567.

It is an arithmetic number, because the mean of its divisors is an integer number (27225450).

Almost surely, 2202131007 is an apocalyptic number.

202131007 is a deficient number, since it is larger than the sum of its proper divisors (15672593).

202131007 is a wasteful number, since it uses less digits than its factorization.

202131007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8873.

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 202131007 is about 14217.2784667108. The cubic root of 202131007 is about 586.8732481349.

Adding to 202131007 its reverse (700131202), we get a palindrome (902262209).

The spelling of 202131007 in words is "two hundred two million, one hundred thirty-one thousand, seven".

Divisors: 1 13 2411 6449 31343 83837 15548539 202131007