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31131213149 is a prime number
BaseRepresentation
bin11100111111100100…
…001001110101011101
32222100120212111002102
4130333210021311131
51002224042310044
622145041534445
72151313642241
oct347744116535
988316774072
1031131213149
1112225838233
126049944425
132c21853caa
141714790421
15c230c824e
hex73f909d5d

31131213149 has 2 divisors, whose sum is σ = 31131213150. Its totient is φ = 31131213148.

The previous prime is 31131213109. The next prime is 31131213151. The reversal of 31131213149 is 94131213113.

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., 22916509924 + 8214703225 = 151382^2 + 90635^2 .

It is a cyclic number.

It is not a de Polignac number, because 31131213149 - 216 = 31131147613 is a prime.

Together with 31131213151, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31131213109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565606574 + 15565606575.

It is an arithmetic number, because the mean of its divisors is an integer number (15565606575).

Almost surely, 231131213149 is an apocalyptic number.

It is an amenable number.

31131213149 is a deficient number, since it is larger than the sum of its proper divisors (1).

31131213149 is an equidigital number, since it uses as much as digits as its factorization.

31131213149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 29.

The spelling of 31131213149 in words is "thirty-one billion, one hundred thirty-one million, two hundred thirteen thousand, one hundred forty-nine".