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123315201 = 3213701689
BaseRepresentation
bin1110101100110…
…10010000000001
322121001001122200
413112122100001
5223032041301
620123023413
73025106352
oct726322001
9277031580
10123315201
1163676599
123536ab69
131c717b99
141253dd29
15ac5cc86
hex759a401

123315201 has 6 divisors (see below), whose sum is σ = 178121970. Its totient is φ = 82210128.

The previous prime is 123315131. The next prime is 123315217. The reversal of 123315201 is 102513321.

It can be written as a sum of positive squares in only one way, i.e., 86044176 + 37271025 = 9276^2 + 6105^2 .

It is not a de Polignac number, because 123315201 - 215 = 123282433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123315281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6850836 + ... + 6850853.

It is an arithmetic number, because the mean of its divisors is an integer number (29686995).

Almost surely, 2123315201 is an apocalyptic number.

It is an amenable number.

123315201 is a deficient number, since it is larger than the sum of its proper divisors (54806769).

123315201 is a wasteful number, since it uses less digits than its factorization.

123315201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13701695 (or 13701692 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 123315201 is about 11104.7377726806. The cubic root of 123315201 is about 497.7434324601.

Adding to 123315201 its reverse (102513321), we get a palindrome (225828522).

The spelling of 123315201 in words is "one hundred twenty-three million, three hundred fifteen thousand, two hundred one".

Divisors: 1 3 9 13701689 41105067 123315201