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101141131019 is a prime number
BaseRepresentation
bin101111000110001111…
…0110010111100001011
3100200001200212210201112
41132030132302330023
53124114112143034
6114244045240535
710210241300045
oct1361436627413
9320050783645
10101141131019
1139991593795
1217727b6314b
1396cb0619b6
144c76828a95
15296e4e77ce
hex178c7b2f0b

101141131019 has 2 divisors, whose sum is σ = 101141131020. Its totient is φ = 101141131018.

The previous prime is 101141131009. The next prime is 101141131027. The reversal of 101141131019 is 910131141101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101141131019 is a prime.

It is a super-2 number, since 2×1011411310192 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101141130985 and 101141131003.

It is not a weakly prime, because it can be changed into another prime (101141131009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50570565509 + 50570565510.

It is an arithmetic number, because the mean of its divisors is an integer number (50570565510).

Almost surely, 2101141131019 is an apocalyptic number.

101141131019 is a deficient number, since it is larger than the sum of its proper divisors (1).

101141131019 is an equidigital number, since it uses as much as digits as its factorization.

101141131019 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 23.

The spelling of 101141131019 in words is "one hundred one billion, one hundred forty-one million, one hundred thirty-one thousand, nineteen".