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102456001 is a prime number
BaseRepresentation
bin1100001101101…
…01101011000001
321010210022012201
412012311223001
5202212043001
614055553201
72352601354
oct606655301
9233708181
10102456001
115291978a
122a38b801
13182c366b
14d87029b
158edc501
hex61b5ac1

102456001 has 2 divisors, whose sum is σ = 102456002. Its totient is φ = 102456000.

The previous prime is 102455993. The next prime is 102456019. The reversal of 102456001 is 100654201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64016001 + 38440000 = 8001^2 + 6200^2 .

It is an emirp because it is prime and its reverse (100654201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 102456001 - 23 = 102455993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102456001.

It is not a weakly prime, because it can be changed into another prime (102456041) by changing a digit.

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 as a sum of consecutive naturals, namely, 51228000 + 51228001.

It is an arithmetic number, because the mean of its divisors is an integer number (51228001).

Almost surely, 2102456001 is an apocalyptic number.

It is an amenable number.

102456001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102456001 is an equidigital number, since it uses as much as digits as its factorization.

102456001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 102456001 is about 10122.0551766921. The cubic root of 102456001 is about 467.9281079453.

The spelling of 102456001 in words is "one hundred two million, four hundred fifty-six thousand, one".