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10042114097 is a prime number
BaseRepresentation
bin10010101101000111…
…01000000000110001
3221220212000020210202
421112203220000301
5131031240122342
64340245204545
7503565363401
oct112643500061
927825006722
1010042114097
114293569a54
121b43100755
13c40644362
146b39a6801
153db92b332
hex2568e8031

10042114097 has 2 divisors, whose sum is σ = 10042114098. Its totient is φ = 10042114096.

The previous prime is 10042114067. The next prime is 10042114123. The reversal of 10042114097 is 79041124001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7261766656 + 2780347441 = 85216^2 + 52729^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10042114097 is a prime.

It is a super-2 number, since 2×100421140972 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10042114067) 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, 5021057048 + 5021057049.

It is an arithmetic number, because the mean of its divisors is an integer number (5021057049).

Almost surely, 210042114097 is an apocalyptic number.

It is an amenable number.

10042114097 is a deficient number, since it is larger than the sum of its proper divisors (1).

10042114097 is an equidigital number, since it uses as much as digits as its factorization.

10042114097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2016, while the sum is 29.

Adding to 10042114097 its reverse (79041124001), we get a palindrome (89083238098).

The spelling of 10042114097 in words is "ten billion, forty-two million, one hundred fourteen thousand, ninety-seven".