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192131200100321 = 792261711763593
BaseRepresentation
bin101011101011111000000111…
…111011101010011111100001
3221012021120012200101022110222
4223223320013323222133201
5200140334144211202241
61520343504350532425
755320010150616336
oct5353700773523741
9835246180338428
10192131200100321
1156245425674399
1219670392207115
138328b8209a5a1
1435632b1da898d
151732b904e7a4b
hexaebe07eea7e1

192131200100321 has 12 divisors (see below), whose sum is σ = 194668400150532. Its totient is φ = 189626656212864.

The previous prime is 192131200100311. The next prime is 192131200100353. The reversal of 192131200100321 is 123001002131291.

It can be written as a sum of positive squares in 2 ways, for example, as 184292544042721 + 7838656057600 = 13575439^2 + 2799760^2 .

It is not a de Polignac number, because 192131200100321 - 210 = 192131200099297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (192131200100311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10450901 + ... + 22214493.

It is an arithmetic number, because the mean of its divisors is an integer number (16222366679211).

Almost surely, 2192131200100321 is an apocalyptic number.

It is an amenable number.

192131200100321 is a deficient number, since it is larger than the sum of its proper divisors (2537200050211).

192131200100321 is an equidigital number, since it uses as much as digits as its factorization.

192131200100321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11766368 (or 11766289 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 26.

The spelling of 192131200100321 in words is "one hundred ninety-two trillion, one hundred thirty-one billion, two hundred million, one hundred thousand, three hundred twenty-one".

Divisors: 1 79 2617 6241 206743 11763593 16332697 929323847 30785322881 73416583913 2432040507599 192131200100321