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13022101112022 = 2331721957176913
BaseRepresentation
bin1011110101111111000110…
…1101100000010011010110
31201002220022121122100101000
42331133301231200103112
53201323230341041042
643410134244044130
72512546543063332
oct275376155402326
951086277570330
1013022101112022
114170707657332
12156392b393646
13735c957500b2
143303b73a67c2
15178b04ad974c
hexbd7f1b604d6

13022101112022 has 192 divisors, whose sum is σ = 32415374534400. Its totient is φ = 3863517419520.

The previous prime is 13022101112021. The next prime is 13022101112051. The reversal of 13022101112022 is 22021110122031.

13022101112022 is a `hidden beast` number, since 1 + 302 + 210 + 11 + 120 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13022101111986 and 13022101112004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022101112021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 169271038 + ... + 169347950.

It is an arithmetic number, because the mean of its divisors is an integer number (168830075700).

Almost surely, 213022101112022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022101112022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16207687267200).

13022101112022 is an abundant number, since it is smaller than the sum of its proper divisors (19393273422378).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13022101112022 is a wasteful number, since it uses less digits than its factorization.

13022101112022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77548 (or 77525 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 13022101112022 its reverse (22021110122031), we get a palindrome (35043211234053).

The spelling of 13022101112022 in words is "thirteen trillion, twenty-two billion, one hundred one million, one hundred twelve thousand, twenty-two".