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31234198993 is a prime number
BaseRepresentation
bin11101000101101101…
…000000110111010001
32222121202122201002221
4131011231000313101
51002431423331433
622203201141041
72154004211434
oct350555006721
988552581087
1031234198993
1112278988aa8
12607832a781
132c39ca186a
14172431b81b
15c2c16c72d
hex745b40dd1

31234198993 has 2 divisors, whose sum is σ = 31234198994. Its totient is φ = 31234198992.

The previous prime is 31234198987. The next prime is 31234198997. The reversal of 31234198993 is 39989143213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31105671424 + 128527569 = 176368^2 + 11337^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31234198993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31234198993.

It is not a weakly prime, because it can be changed into another prime (31234198997) 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 as a sum of consecutive naturals, namely, 15617099496 + 15617099497.

It is an arithmetic number, because the mean of its divisors is an integer number (15617099497).

Almost surely, 231234198993 is an apocalyptic number.

It is an amenable number.

31234198993 is a deficient number, since it is larger than the sum of its proper divisors (1).

31234198993 is an equidigital number, since it uses as much as digits as its factorization.

31234198993 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1259712, while the sum is 52.

The spelling of 31234198993 in words is "thirty-one billion, two hundred thirty-four million, one hundred ninety-eight thousand, nine hundred ninety-three".