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123602168041 = 11231210312
BaseRepresentation
bin111001100011101000…
…0110110100011101001
3102211001001021201002121
41303013100312203221
54011114123334131
6132440531231241
711633656044022
oct1630720664351
9384031251077
10123602168041
1148468224300
121bb56148521
13b86a576251
145da78dbc49
153336344911
hex1cc74368e9

123602168041 has 27 divisors (see below), whose sum is σ = 140520491517. Its totient is φ = 108635439000.

The previous prime is 123602168023. The next prime is 123602168051. The reversal of 123602168041 is 140861206321.

The square root of 123602168041 is 351571.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 123602168041 - 215 = 123602135273 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 123602167988 and 123602168006.

It is not an unprimeable number, because it can be changed into a prime (123602168051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 119885196 + ... + 119886226.

Almost surely, 2123602168041 is an apocalyptic number.

123602168041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

123602168041 is the 351571-st square number.

123602168041 is the 175786-th centered octagonal number.

It is an amenable number.

123602168041 is a deficient number, since it is larger than the sum of its proper divisors (16918323476).

123602168041 is an frugal number, since it uses more digits than its factorization.

123602168041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 123602168041 in words is "one hundred twenty-three billion, six hundred two million, one hundred sixty-eight thousand, forty-one".

Divisors: 1 11 31 121 341 961 1031 3751 10571 11341 31961 116281 124751 351571 990791 1062961 3867281 10898701 11692571 32951791 119885711 128618281 362469701 1021505521 3987166711 11236560731 123602168041