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122222010100031 is a prime number
BaseRepresentation
bin11011110010100100000111…
…011111101110100100111111
3121000202022101000210111111222
4123302210013133232210333
5112004441134041200111
61111540003304503555
734513151230332122
oct3362440737564477
9530668330714458
10122222010100031
1135a42077420106
121185b53ba7abbb
135327641c5a42a
142227810c503b9
15e1e41d02d7db
hex6f29077ee93f

122222010100031 has 2 divisors, whose sum is σ = 122222010100032. Its totient is φ = 122222010100030.

The previous prime is 122222010100019. The next prime is 122222010100061. The reversal of 122222010100031 is 130001010222221.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 122222010100031 - 218 = 122222009837887 is a prime.

It is a super-2 number, since 2×1222220101000312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122222010099982 and 122222010100009.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122222010100061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61111005050015 + 61111005050016.

It is an arithmetic number, because the mean of its divisors is an integer number (61111005050016).

Almost surely, 2122222010100031 is an apocalyptic number.

122222010100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

122222010100031 is an equidigital number, since it uses as much as digits as its factorization.

122222010100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 122222010100031 its reverse (130001010222221), we get a palindrome (252223020322252).

The spelling of 122222010100031 in words is "one hundred twenty-two trillion, two hundred twenty-two billion, ten million, one hundred thousand, thirty-one".