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10375723121 is a prime number
BaseRepresentation
bin10011010100111000…
…01111100001110001
3222210002202100100112
421222130033201301
5132222141114441
64433323431105
7515056122431
oct115234174161
928702670315
1010375723121
114444909395
122016985495
13c947aba4a
147060082c1
1540ad784eb
hex26a70f871

10375723121 has 2 divisors, whose sum is σ = 10375723122. Its totient is φ = 10375723120.

The previous prime is 10375723103. The next prime is 10375723123. The reversal of 10375723121 is 12132757301.

10375723121 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., 7820926096 + 2554797025 = 88436^2 + 50545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10375723121 is a prime.

Together with 10375723123, 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 (10375723123) 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, 5187861560 + 5187861561.

It is an arithmetic number, because the mean of its divisors is an integer number (5187861561).

Almost surely, 210375723121 is an apocalyptic number.

It is an amenable number.

10375723121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10375723121 is an equidigital number, since it uses as much as digits as its factorization.

10375723121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8820, while the sum is 32.

The spelling of 10375723121 in words is "ten billion, three hundred seventy-five million, seven hundred twenty-three thousand, one hundred twenty-one".