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202131133 is a prime number
BaseRepresentation
bin11000000110001…
…00011010111101
3112002100022210021
430003010122331
5403221144013
632020212141
75003041411
oct1403043275
9462308707
10202131133
11a4109126
125783a051
1332b52329
141cbb8d41
1512b2aa8d
hexc0c46bd

202131133 has 2 divisors, whose sum is σ = 202131134. Its totient is φ = 202131132.

The previous prime is 202131121. The next prime is 202131151. The reversal of 202131133 is 331131202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 112317604 + 89813529 = 10598^2 + 9477^2 .

It is a cyclic number.

It is not a de Polignac number, because 202131133 - 213 = 202122941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202131113) 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 as a sum of consecutive naturals, namely, 101065566 + 101065567.

It is an arithmetic number, because the mean of its divisors is an integer number (101065567).

Almost surely, 2202131133 is an apocalyptic number.

It is an amenable number.

202131133 is a deficient number, since it is larger than the sum of its proper divisors (1).

202131133 is an equidigital number, since it uses as much as digits as its factorization.

202131133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 202131133 is about 14217.2828979380. The cubic root of 202131133 is about 586.8733700789.

Adding to 202131133 its reverse (331131202), we get a palindrome (533262335).

The spelling of 202131133 in words is "two hundred two million, one hundred thirty-one thousand, one hundred thirty-three".