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122022301113131 is a prime number
BaseRepresentation
bin11011101111101010000111…
…111010011001101100101011
3121000001012212222002210221112
4123233222013322121230223
5111443203133041110011
61111304134332100535
734462551242054606
oct3357520772315453
9530035788083845
10122022301113131
1135975404955401
12118288a590474b
135311866010673
14221bca768333d
15e191303e058b
hex6efa87e99b2b

122022301113131 has 2 divisors, whose sum is σ = 122022301113132. Its totient is φ = 122022301113130.

The previous prime is 122022301113101. The next prime is 122022301113133. The reversal of 122022301113131 is 131311103220221.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 122022301113131 - 222 = 122022296918827 is a prime.

It is a super-2 number, since 2×1220223011131312 (a number of 29 digits) contains 22 as substring.

Together with 122022301113133, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 122022301113097 and 122022301113106.

It is not a weakly prime, because it can be changed into another prime (122022301113133) 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, 61011150556565 + 61011150556566.

It is an arithmetic number, because the mean of its divisors is an integer number (61011150556566).

Almost surely, 2122022301113131 is an apocalyptic number.

122022301113131 is a deficient number, since it is larger than the sum of its proper divisors (1).

122022301113131 is an equidigital number, since it uses as much as digits as its factorization.

122022301113131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 122022301113131 its reverse (131311103220221), we get a palindrome (253333404333352).

The spelling of 122022301113131 in words is "one hundred twenty-two trillion, twenty-two billion, three hundred one million, one hundred thirteen thousand, one hundred thirty-one".