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10123457689 is a prime number
BaseRepresentation
bin10010110110110011…
…11011010010011001
3222010112001221020101
421123121323102121
5131213101121224
64352312455401
7505603653622
oct113331732231
928115057211
1010123457689
114325478664
121b663aa561
13c54455167
146c06dca49
153e3b48044
hex25b67b499

10123457689 has 2 divisors, whose sum is σ = 10123457690. Its totient is φ = 10123457688.

The previous prime is 10123457657. The next prime is 10123457737. The reversal of 10123457689 is 98675432101.

10123457689 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8940648025 + 1182809664 = 94555^2 + 34392^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123457689 - 25 = 10123457657 is a prime.

It is a super-3 number, since 3×101234576893 (a number of 31 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10123457189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061728844 + 5061728845.

It is an arithmetic number, because the mean of its divisors is an integer number (5061728845).

It is a 2-persistent number, because it is pandigital, and so is 2⋅10123457689 = 20246915378, but 3⋅10123457689 = 30370373067 is not.

Almost surely, 210123457689 is an apocalyptic number.

It is an amenable number.

10123457689 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123457689 is an equidigital number, since it uses as much as digits as its factorization.

10123457689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 10123457689 in words is "ten billion, one hundred twenty-three million, four hundred fifty-seven thousand, six hundred eighty-nine".