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123084041 is a prime number
BaseRepresentation
bin1110101011000…
…01110100001001
322120121022120012
413111201310021
5223002142131
620114041305
73023124413
oct725416411
9276538505
10123084041
1163528953
1235279235
131c6668c2
14124bd9b3
15ac1452b
hex7561d09

123084041 has 2 divisors, whose sum is σ = 123084042. Its totient is φ = 123084040.

The previous prime is 123084037. The next prime is 123084061. The reversal of 123084041 is 140480321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106915600 + 16168441 = 10340^2 + 4021^2 .

It is a cyclic number.

It is not a de Polignac number, because 123084041 - 22 = 123084037 is a prime.

It is a super-2 number, since 2×1230840412 = 30299362297779362, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 123083998 and 123084016.

It is not a weakly prime, because it can be changed into another prime (123084001) 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, 61542020 + 61542021.

It is an arithmetic number, because the mean of its divisors is an integer number (61542021).

Almost surely, 2123084041 is an apocalyptic number.

It is an amenable number.

123084041 is a deficient number, since it is larger than the sum of its proper divisors (1).

123084041 is an equidigital number, since it uses as much as digits as its factorization.

123084041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 123084041 is about 11094.3247203244. The cubic root of 123084041 is about 497.4322236231.

The spelling of 123084041 in words is "one hundred twenty-three million, eighty-four thousand, forty-one".