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31331123110289 is a prime number
BaseRepresentation
bin1110001111110110110000…
…11101101010000110010001
311002221020002211200000202202
413013323120131222012101
513101312120004012124
6150345152543052545
76412412303214512
oct707733035520621
9132836084600682
1031331123110289
119a8a5002166a2
1236202218a1155
1314636874b1482
147a46121b6a09
15394edb2265ae
hex1c7ed876a191

31331123110289 has 2 divisors, whose sum is σ = 31331123110290. Its totient is φ = 31331123110288.

The previous prime is 31331123110267. The next prime is 31331123110327. The reversal of 31331123110289 is 98201132113313.

It is an a-pointer prime, because the next prime (31331123110327) can be obtained adding 31331123110289 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30978296614225 + 352826496064 = 5565815^2 + 593992^2 .

It is a cyclic number.

It is not a de Polignac number, because 31331123110289 - 224 = 31331106333073 is a prime.

It is a super-2 number, since 2×313311231102892 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31331123010289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15665561555144 + 15665561555145.

It is an arithmetic number, because the mean of its divisors is an integer number (15665561555145).

Almost surely, 231331123110289 is an apocalyptic number.

It is an amenable number.

31331123110289 is a deficient number, since it is larger than the sum of its proper divisors (1).

31331123110289 is an equidigital number, since it uses as much as digits as its factorization.

31331123110289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23328, while the sum is 38.

The spelling of 31331123110289 in words is "thirty-one trillion, three hundred thirty-one billion, one hundred twenty-three million, one hundred ten thousand, two hundred eighty-nine".