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31412022010097 is a prime number
BaseRepresentation
bin1110010010001101011100…
…11010011110000011110001
311010012221220211012221111012
413021012232122132003301
513104123310113310342
6150450252251200305
76421305121423331
oct711065632360361
9133187824187435
1031412022010097
11a010844573483
123633a3a746095
13146b1aa915c61
147a84c84a30c1
153971735a5b82
hex1c91ae69e0f1

31412022010097 has 2 divisors, whose sum is σ = 31412022010098. Its totient is φ = 31412022010096.

The previous prime is 31412022010079. The next prime is 31412022010133. The reversal of 31412022010097 is 79001022021413.

Together with previous prime (31412022010079) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31366373123761 + 45648886336 = 5600569^2 + 213656^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-31412022010097 is a prime.

It is not a weakly prime, because it can be changed into another prime (31412022010297) 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, 15706011005048 + 15706011005049.

It is an arithmetic number, because the mean of its divisors is an integer number (15706011005049).

Almost surely, 231412022010097 is an apocalyptic number.

It is an amenable number.

31412022010097 is a deficient number, since it is larger than the sum of its proper divisors (1).

31412022010097 is an equidigital number, since it uses as much as digits as its factorization.

31412022010097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 31412022010097 in words is "thirty-one trillion, four hundred twelve billion, twenty-two million, ten thousand, ninety-seven".