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123064261 is a prime number
BaseRepresentation
bin1110101010111…
…00111111000101
322120120022102121
413111130333011
5223001024021
620113405541
73023012635
oct725347705
9276508377
10123064261
1163515001
12352698b1
131c65a8b8
14124b66c5
15ac0d741
hex755cfc5

123064261 has 2 divisors, whose sum is σ = 123064262. Its totient is φ = 123064260.

The previous prime is 123064259. The next prime is 123064289. The reversal of 123064261 is 162460321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99880036 + 23184225 = 9994^2 + 4815^2 .

It is a cyclic number.

It is not a de Polignac number, because 123064261 - 21 = 123064259 is a prime.

It is a super-2 number, since 2×1230642612 = 30289624670952242, which contains 22 as substring.

Together with 123064259, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123064211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61532130 + 61532131.

It is an arithmetic number, because the mean of its divisors is an integer number (61532131).

Almost surely, 2123064261 is an apocalyptic number.

It is an amenable number.

123064261 is a deficient number, since it is larger than the sum of its proper divisors (1).

123064261 is an equidigital number, since it uses as much as digits as its factorization.

123064261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 123064261 is about 11093.4332377312. The cubic root of 123064261 is about 497.4055758778.

The spelling of 123064261 in words is "one hundred twenty-three million, sixty-four thousand, two hundred sixty-one".