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102444201 = 3249922811
BaseRepresentation
bin1100001101100…
…10110010101001
321010202201000200
412012302302221
5202211203301
614055422413
72352522066
oct606626251
9233681020
10102444201
1152910932
122a384a09
13182bb192
14d869c6d
158ed8c86
hex61b2ca9

102444201 has 12 divisors (see below), whose sum is σ = 148278000. Its totient is φ = 68156280.

The previous prime is 102444197. The next prime is 102444217.

102444201 is a `hidden beast` number, since 1 + 0 + 244 + 420 + 1 = 666.

102444201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102444201 - 22 = 102444197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102444241) 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 in 11 ways as a sum of consecutive naturals, for example, 6915 + ... + 15896.

It is an arithmetic number, because the mean of its divisors is an integer number (12356500).

Almost surely, 2102444201 is an apocalyptic number.

It is an amenable number.

102444201 is a deficient number, since it is larger than the sum of its proper divisors (45833799).

102444201 is a wasteful number, since it uses less digits than its factorization.

102444201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23316 (or 23313 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102444201 is about 10121.4722743285. The cubic root of 102444201 is about 467.9101432788.

The spelling of 102444201 in words is "one hundred two million, four hundred forty-four thousand, two hundred one".

Divisors: 1 3 9 499 1497 4491 22811 68433 205299 11382689 34148067 102444201