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123715201 is a prime number
BaseRepresentation
bin1110101111110…
…11111010000001
322121210101100111
413113323322001
5223132341301
620135351321
73031363501
oct727737201
9277711314
10123715201
116391a075
1235522541
131c827c7c
1412605a01
15acdb551
hex75fbe81

123715201 has 2 divisors, whose sum is σ = 123715202. Its totient is φ = 123715200.

The previous prime is 123715199. The next prime is 123715211. The reversal of 123715201 is 102517321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68227600 + 55487601 = 8260^2 + 7449^2 .

It is a cyclic number.

It is not a de Polignac number, because 123715201 - 21 = 123715199 is a prime.

Together with 123715199, it forms a pair of twin primes.

It is equal to p7041109 and since 123715201 and 7041109 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (123715211) 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, 61857600 + 61857601.

It is an arithmetic number, because the mean of its divisors is an integer number (61857601).

Almost surely, 2123715201 is an apocalyptic number.

It is an amenable number.

123715201 is a deficient number, since it is larger than the sum of its proper divisors (1).

123715201 is an equidigital number, since it uses as much as digits as its factorization.

123715201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 123715201 is about 11122.7335219361. The cubic root of 123715201 is about 498.2810317353.

The spelling of 123715201 in words is "one hundred twenty-three million, seven hundred fifteen thousand, two hundred one".