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31200329089 is a prime number
BaseRepresentation
bin11101000011101011…
…110011110110000001
32222112101220221100001
4131003223303312001
51002344241012324
622155551200001
72153113264366
oct350353636601
988471827301
1031200329089
1112260855046
126068b16001
132c32c732b7
14171da2246d
15c291cbe44
hex743af3d81

31200329089 has 2 divisors, whose sum is σ = 31200329090. Its totient is φ = 31200329088.

The previous prime is 31200329087. The next prime is 31200329101. The reversal of 31200329089 is 98092300213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19097028864 + 12103300225 = 138192^2 + 110015^2 .

It is a cyclic number.

It is not a de Polignac number, because 31200329089 - 21 = 31200329087 is a prime.

Together with 31200329087, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (31200329087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15600164544 + 15600164545.

It is an arithmetic number, because the mean of its divisors is an integer number (15600164545).

Almost surely, 231200329089 is an apocalyptic number.

It is an amenable number.

31200329089 is a deficient number, since it is larger than the sum of its proper divisors (1).

31200329089 is an equidigital number, since it uses as much as digits as its factorization.

31200329089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 31200329089 in words is "thirty-one billion, two hundred million, three hundred twenty-nine thousand, eighty-nine".