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2131233329 is a prime number
BaseRepresentation
bin111111100001000…
…0000101000110001
312111112021212111202
41333002000220301
513331043431304
6551251420545
7103546120151
oct17702005061
95445255452
102131233329
119a4031165
124b58b4755
1327c705314
1416309a761
15c718681e
hex7f080a31

2131233329 has 2 divisors, whose sum is σ = 2131233330. Its totient is φ = 2131233328.

The previous prime is 2131233301. The next prime is 2131233331. The reversal of 2131233329 is 9233321312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2084105104 + 47128225 = 45652^2 + 6865^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2131233329 is a prime.

Together with 2131233331, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2131233359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065616664 + 1065616665.

It is an arithmetic number, because the mean of its divisors is an integer number (1065616665).

Almost surely, 22131233329 is an apocalyptic number.

It is an amenable number.

2131233329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131233329 is an equidigital number, since it uses as much as digits as its factorization.

2131233329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5832, while the sum is 29.

The square root of 2131233329 is about 46165.2827241424. The cubic root of 2131233329 is about 1286.8966383198.

The spelling of 2131233329 in words is "two billion, one hundred thirty-one million, two hundred thirty-three thousand, three hundred twenty-nine".