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102666201 = 3112282827
BaseRepresentation
bin1100001111010…
…00111111011001
321011011222112220
412013220333121
5202240304301
614104254253
72354435241
oct607507731
9234158486
10102666201
1152a52700
122a471389
1318368241
14d8c6b21
15902e936
hex61e8fd9

102666201 has 12 divisors (see below), whose sum is σ = 150464496. Its totient is φ = 62221720.

The previous prime is 102666199. The next prime is 102666209.

102666201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102666201 - 21 = 102666199 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102666209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141051 + ... + 141776.

It is an arithmetic number, because the mean of its divisors is an integer number (12538708).

Almost surely, 2102666201 is an apocalyptic number.

102666201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102666201 is a deficient number, since it is larger than the sum of its proper divisors (47798295).

102666201 is a wasteful number, since it uses less digits than its factorization.

102666201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282852 (or 282841 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 102666201 is about 10132.4331233914. The cubic root of 102666201 is about 468.2478917204.

The spelling of 102666201 in words is "one hundred two million, six hundred sixty-six thousand, two hundred one".

Divisors: 1 3 11 33 121 363 282827 848481 3111097 9333291 34222067 102666201