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31139782831921 = 317461509418637
BaseRepresentation
bin1110001010010010010111…
…01100011010111100110001
311002020221020000011210010011
413011021023230122330301
513040143233401110141
6150121230240534521
76362526563534401
oct705111354327461
9132227200153104
1031139782831921
119a16342661535
1235ab122321441
13144b6132b134a
14799260250801
1539003d165881
hex1c524bb1af31

31139782831921 has 16 divisors (see below), whose sum is σ = 31367356408080. Its totient is φ = 30913287911680.

The previous prime is 31139782831909. The next prime is 31139782831931. The reversal of 31139782831921 is 12913828793113.

It can be written as a sum of positive squares in 8 ways, for example, as 9377221950625 + 21762560881296 = 3062225^2 + 4665036^2 .

It is a cyclic number.

It is not a de Polignac number, because 31139782831921 - 229 = 31139245961009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31139782831931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74174415 + ... + 74593051.

It is an arithmetic number, because the mean of its divisors is an integer number (1960459775505).

Almost surely, 231139782831921 is an apocalyptic number.

It is an amenable number.

31139782831921 is a deficient number, since it is larger than the sum of its proper divisors (227573576159).

31139782831921 is a wasteful number, since it uses less digits than its factorization.

31139782831921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419924.

The product of its digits is 3919104, while the sum is 58.

The spelling of 31139782831921 in words is "thirty-one trillion, one hundred thirty-nine billion, seven hundred eighty-two million, eight hundred thirty-one thousand, nine hundred twenty-one".

Divisors: 1 317 461 509 146137 161353 234649 418637 74383733 132707929 192991657 213086233 61178355269 67548335861 98232753413 31139782831921