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202131322109 is a prime number
BaseRepresentation
bin1011110000111111110…
…1110011010011111101
3201022201212202001210022
42330033331303103331
511302431104301414
6232505143421525
720414000614043
oct2741775632375
9638655661708
10202131322109
11787a5953032
12332114548a5
13160a3a55a12
149ad71a2393
1553d062718e
hex2f0ff734fd

202131322109 has 2 divisors, whose sum is σ = 202131322110. Its totient is φ = 202131322108.

The previous prime is 202131322097. The next prime is 202131322117. The reversal of 202131322109 is 901223131202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 198194136100 + 3937186009 = 445190^2 + 62747^2 .

It is a cyclic number.

It is not a de Polignac number, because 202131322109 - 24 = 202131322093 is a prime.

It is a super-3 number, since 3×2021313221093 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202131322009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101065661054 + 101065661055.

It is an arithmetic number, because the mean of its divisors is an integer number (101065661055).

Almost surely, 2202131322109 is an apocalyptic number.

It is an amenable number.

202131322109 is a deficient number, since it is larger than the sum of its proper divisors (1).

202131322109 is an equidigital number, since it uses as much as digits as its factorization.

202131322109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 202131322109 in words is "two hundred two billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred nine".