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123000101249 is a prime number
BaseRepresentation
bin111001010001101100…
…0001001100110000001
3102202111002101112201112
41302203120021212001
54003401011214444
6132301103013105
711613025416164
oct1624330114601
9382432345645
10123000101249
1148189394643
121ba0859a195
13b7a29059cc
145d4b977adb
1532ed56969e
hex1ca3609981

123000101249 has 2 divisors, whose sum is σ = 123000101250. Its totient is φ = 123000101248.

The previous prime is 123000101227. The next prime is 123000101251. The reversal of 123000101249 is 942101000321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77614059649 + 45386041600 = 278593^2 + 213040^2 .

It is a cyclic number.

It is not a de Polignac number, because 123000101249 - 216 = 123000035713 is a prime.

Together with 123000101251, 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 (123000101219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61500050624 + 61500050625.

It is an arithmetic number, because the mean of its divisors is an integer number (61500050625).

Almost surely, 2123000101249 is an apocalyptic number.

It is an amenable number.

123000101249 is a deficient number, since it is larger than the sum of its proper divisors (1).

123000101249 is an equidigital number, since it uses as much as digits as its factorization.

123000101249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 123000101249 in words is "one hundred twenty-three billion, one hundred one thousand, two hundred forty-nine".