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123312001 is a prime number
BaseRepresentation
bin1110101100110…
…01011110000001
322121000220021011
413112121132001
5223031441001
620123000521
73025064131
oct726313601
9277026234
10123312001
116367414a
1235369141
131c7165a7
141253cac1
15ac5bd51
hex7599781

123312001 has 2 divisors, whose sum is σ = 123312002. Its totient is φ = 123312000.

The previous prime is 123311989. The next prime is 123312023. The reversal of 123312001 is 100213321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74995600 + 48316401 = 8660^2 + 6951^2 .

It is a cyclic number.

It is not a de Polignac number, because 123312001 - 213 = 123303809 is a prime.

It is not a weakly prime, because it can be changed into another prime (123312061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61656000 + 61656001.

It is an arithmetic number, because the mean of its divisors is an integer number (61656001).

Almost surely, 2123312001 is an apocalyptic number.

It is an amenable number.

123312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

123312001 is an equidigital number, since it uses as much as digits as its factorization.

123312001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 123312001 is about 11104.5936891000. The cubic root of 123312001 is about 497.7391269818.

Adding to 123312001 its reverse (100213321), we get a palindrome (223525322).

The spelling of 123312001 in words is "one hundred twenty-three million, three hundred twelve thousand, one".