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202131223009 is a prime number
BaseRepresentation
bin1011110000111111110…
…1011011000111100001
3201022201212120000211221
42330033331123013201
511302431043114014
6232505141335041
720414000022112
oct2741775330741
9638655500757
10202131223009
11787a5895631
1233211407481
13160a3a1c891
149ad7178209
1553d0607b24
hex2f0ff5b1e1

202131223009 has 2 divisors, whose sum is σ = 202131223010. Its totient is φ = 202131223008.

The previous prime is 202131223001. The next prime is 202131223051. The reversal of 202131223009 is 900322131202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124858342609 + 77272880400 = 353353^2 + 277980^2 .

It is a cyclic number.

It is not a de Polignac number, because 202131223009 - 23 = 202131223001 is a prime.

It is a super-2 number, since 2×2021312230092 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (202131223001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101065611504 + 101065611505.

It is an arithmetic number, because the mean of its divisors is an integer number (101065611505).

Almost surely, 2202131223009 is an apocalyptic number.

It is an amenable number.

202131223009 is a deficient number, since it is larger than the sum of its proper divisors (1).

202131223009 is an equidigital number, since it uses as much as digits as its factorization.

202131223009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

The spelling of 202131223009 in words is "two hundred two billion, one hundred thirty-one million, two hundred twenty-three thousand, nine".