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102832376841 = 3229393993781
BaseRepresentation
bin101111111000101001…
…0011000110000001001
3100211102120020222211200
41133301102120300021
53141100042024331
6115123542414413
710300165531635
oct1376122306011
9324376228750
10102832376841
113a67a217807
1217b1a431409
13990a56477c
144d972b1dc5
152a1cc1c5e6
hex17f1498c09

102832376841 has 12 divisors (see below), whose sum is σ = 153657574980. Its totient is φ = 66190955040.

The previous prime is 102832376827. The next prime is 102832376851. The reversal of 102832376841 is 148673238201.

It can be written as a sum of positive squares in 2 ways, for example, as 84232872441 + 18599504400 = 290229^2 + 136380^2 .

It is not a de Polignac number, because 102832376841 - 233 = 94242442249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102832376851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196996630 + ... + 196997151.

It is an arithmetic number, because the mean of its divisors is an integer number (12804797915).

Almost surely, 2102832376841 is an apocalyptic number.

It is an amenable number.

102832376841 is a deficient number, since it is larger than the sum of its proper divisors (50825198139).

102832376841 is a wasteful number, since it uses less digits than its factorization.

102832376841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393993816 (or 393993813 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 102832376841 in words is "one hundred two billion, eight hundred thirty-two million, three hundred seventy-six thousand, eight hundred forty-one".

Divisors: 1 3 9 29 87 261 393993781 1181981343 3545944029 11425819649 34277458947 102832376841