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10123321349 is a prime number
BaseRepresentation
bin10010110110110010…
…11010000000000101
3222010111211000012202
421123121122000011
5131213032240344
64352305524245
7505602545261
oct113331320005
928114730182
1010123321349
114325395189
121b66343685
13c5440809b
146c06a50a1
153e3b1c94e
hex25b65a005

10123321349 has 2 divisors, whose sum is σ = 10123321350. Its totient is φ = 10123321348.

The previous prime is 10123321321. The next prime is 10123321367. The reversal of 10123321349 is 94312332101.

10123321349 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., 9896668324 + 226653025 = 99482^2 + 15055^2 .

It is a cyclic number.

It is not a de Polignac number, because 10123321349 - 28 = 10123321093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123321379) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061660674 + 5061660675.

It is an arithmetic number, because the mean of its divisors is an integer number (5061660675).

Almost surely, 210123321349 is an apocalyptic number.

It is an amenable number.

10123321349 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123321349 is an equidigital number, since it uses as much as digits as its factorization.

10123321349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3888, while the sum is 29.

The spelling of 10123321349 in words is "ten billion, one hundred twenty-three million, three hundred twenty-one thousand, three hundred forty-nine".