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31120221149 is a prime number
BaseRepresentation
bin11100111110111010…
…001110001111011101
32222022211012000220022
4130332322032033131
51002213234034044
622144010201525
72151121341503
oct347672161735
988284160808
1031120221149
111221a60a836
1260461232a5
132c1c4a5a54
14171312c673
15c221563ee
hex73ee8e3dd

31120221149 has 2 divisors, whose sum is σ = 31120221150. Its totient is φ = 31120221148.

The previous prime is 31120221089. The next prime is 31120221157. The reversal of 31120221149 is 94112202113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22715915524 + 8404305625 = 150718^2 + 91675^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31120221149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31420221149) 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 as a sum of consecutive naturals, namely, 15560110574 + 15560110575.

It is an arithmetic number, because the mean of its divisors is an integer number (15560110575).

Almost surely, 231120221149 is an apocalyptic number.

It is an amenable number.

31120221149 is a deficient number, since it is larger than the sum of its proper divisors (1).

31120221149 is an equidigital number, since it uses as much as digits as its factorization.

31120221149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 26.

The spelling of 31120221149 in words is "thirty-one billion, one hundred twenty million, two hundred twenty-one thousand, one hundred forty-nine".