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10023542369 is a prime number
BaseRepresentation
bin10010101010111001…
…10001111001100001
3221212120001201011222
421111130301321201
5131012011323434
64334343144425
7503251463411
oct112534617141
927776051158
1010023542369
114284034815
121b38a45115
13c39841079
146b1330641
153d9ead72e
hex255731e61

10023542369 has 2 divisors, whose sum is σ = 10023542370. Its totient is φ = 10023542368.

The previous prime is 10023542317. The next prime is 10023542371. The reversal of 10023542369 is 96324532001.

10023542369 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9277542400 + 745999969 = 96320^2 + 27313^2 .

It is a cyclic number.

It is not a de Polignac number, because 10023542369 - 216 = 10023476833 is a prime.

It is a super-2 number, since 2×100235423692 (a number of 21 digits) contains 22 as substring.

Together with 10023542371, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10023545369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5011771184 + 5011771185.

It is an arithmetic number, because the mean of its divisors is an integer number (5011771185).

Almost surely, 210023542369 is an apocalyptic number.

It is an amenable number.

10023542369 is a deficient number, since it is larger than the sum of its proper divisors (1).

10023542369 is an equidigital number, since it uses as much as digits as its factorization.

10023542369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 10023542369 in words is "ten billion, twenty-three million, five hundred forty-two thousand, three hundred sixty-nine".