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122352705 = 3252718949
BaseRepresentation
bin1110100101011…
…11010001000001
322112020011100200
413102233101001
5222310241310
620050235413
73013660266
oct722572101
9275204320
10122352705
1163079442
1234b85b69
131c46ba67
141236d26d
15ab1c9c0
hex74af441

122352705 has 12 divisors (see below), whose sum is σ = 212078100. Its totient is φ = 65254752.

The previous prime is 122352697. The next prime is 122352743. The reversal of 122352705 is 507253221.

It can be written as a sum of positive squares in 2 ways, for example, as 65561409 + 56791296 = 8097^2 + 7536^2 .

It is not a de Polignac number, because 122352705 - 23 = 122352697 is a prime.

It is an unprimeable number.

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 in 11 ways as a sum of consecutive naturals, for example, 1359430 + ... + 1359519.

It is an arithmetic number, because the mean of its divisors is an integer number (17673175).

Almost surely, 2122352705 is an apocalyptic number.

122352705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122352705 is a deficient number, since it is larger than the sum of its proper divisors (89725395).

122352705 is a wasteful number, since it uses less digits than its factorization.

122352705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718960 (or 2718957 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 122352705 is about 11061.3156993190. The cubic root of 122352705 is about 496.4450580095.

The spelling of 122352705 in words is "one hundred twenty-two million, three hundred fifty-two thousand, seven hundred five".

Divisors: 1 3 5 9 15 45 2718949 8156847 13594745 24470541 40784235 122352705