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31020022110101 is a prime number
BaseRepresentation
bin1110000110110011010010…
…11001100001011110010101
311001211111002200020202120112
413003121221121201132111
513031213001130010401
6145550222413012405
76351060031310123
oct703315131413625
9131744080222515
1031020022110101
11997a576877682
12358ba7a784105
1314402388543cb
1479353c9d2913
1538bd7e1c73bb
hex1c3669661795

31020022110101 has 2 divisors, whose sum is σ = 31020022110102. Its totient is φ = 31020022110100.

The previous prime is 31020022110053. The next prime is 31020022110193. The reversal of 31020022110101 is 10101122002013.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 28149115469476 + 2870906640625 = 5305574^2 + 1694375^2 .

It is a cyclic number.

It is not a de Polignac number, because 31020022110101 - 218 = 31020021847957 is a prime.

It is a super-2 number, since 2×310200221101012 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31020022116101) 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, 15510011055050 + 15510011055051.

It is an arithmetic number, because the mean of its divisors is an integer number (15510011055051).

Almost surely, 231020022110101 is an apocalyptic number.

It is an amenable number.

31020022110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

31020022110101 is an equidigital number, since it uses as much as digits as its factorization.

31020022110101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 31020022110101 its reverse (10101122002013), we get a palindrome (41121144112114).

The spelling of 31020022110101 in words is "thirty-one trillion, twenty billion, twenty-two million, one hundred ten thousand, one hundred one".