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102066041 = 7112120503
BaseRepresentation
bin1100001010101…
…10011101111001
321010001111021202
412011112131321
5202112103131
614043343545
72346355430
oct605263571
9233044252
10102066041
1152682800
122a221bb5
13181b800c
14d7ac117
158e61bcb
hex6156779

102066041 has 12 divisors (see below), whose sum is σ = 128216256. Its totient is φ = 79531320.

The previous prime is 102066031. The next prime is 102066049. The reversal of 102066041 is 140660201.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-102066041 is a prime.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (102066049) 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, 59405 + ... + 61098.

It is an arithmetic number, because the mean of its divisors is an integer number (10684688).

Almost surely, 2102066041 is an apocalyptic number.

102066041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102066041 is a deficient number, since it is larger than the sum of its proper divisors (26150215).

102066041 is a wasteful number, since it uses less digits than its factorization.

102066041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120532 (or 120521 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 102066041 is about 10102.7739260067. The cubic root of 102066041 is about 467.3336894012. Note that the first 3 decimals are identical.

The spelling of 102066041 in words is "one hundred two million, sixty-six thousand, forty-one".

Divisors: 1 7 11 77 121 847 120503 843521 1325533 9278731 14580863 102066041