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10123357 is a prime number
BaseRepresentation
bin100110100111…
…100001011101
3201001022122011
4212213201131
510042421412
61000551221
7152022106
oct46474135
921038564
1010123357
115794912
123482511
132135a6a
1414b73ad
15d4e7a7
hex9a785d

10123357 has 2 divisors, whose sum is σ = 10123358. Its totient is φ = 10123356.

The previous prime is 10123339. The next prime is 10123363. The reversal of 10123357 is 75332101.

10123357 is digitally balanced in base 3, 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., 9821956 + 301401 = 3134^2 + 549^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123357 - 215 = 10090589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123327) 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, 5061678 + 5061679.

It is an arithmetic number, because the mean of its divisors is an integer number (5061679).

Almost surely, 210123357 is an apocalyptic number.

It is an amenable number.

10123357 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123357 is an equidigital number, since it uses as much as digits as its factorization.

10123357 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 10123357 is about 3181.7223323225. The cubic root of 10123357 is about 216.3257331055.

Adding to 10123357 its reverse (75332101), we get a palindrome (85455458).

The spelling of 10123357 in words is "ten million, one hundred twenty-three thousand, three hundred fifty-seven".