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122001012111013 = 737243296069377
BaseRepresentation
bin11011101111010110010010…
…111111010011011010100101
3120222222011221022002110012121
4123233112102333103122211
5111442331033100023023
61111250254034545541
734461165545404210
oct3357262277233245
9528864838073177
10122001012111013
113596737a85aa82
12118247441382b1
13530c85257b8a9
14221ac48100777
15e187d6407d5d
hex6ef592fd36a5

122001012111013 has 24 divisors (see below), whose sum is σ = 146632504425792. Its totient is φ = 99379831025664.

The previous prime is 122001012110951. The next prime is 122001012111059. The reversal of 122001012111013 is 310111210100221.

It is a happy number.

It is not a de Polignac number, because 122001012111013 - 213 = 122001012102821 is a prime.

It is a super-2 number, since 2×1220010121110132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122001012111113) 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 in 23 ways as a sum of consecutive naturals, for example, 147622620 + ... + 148446757.

It is an arithmetic number, because the mean of its divisors is an integer number (6109687684408).

Almost surely, 2122001012111013 is an apocalyptic number.

It is an amenable number.

122001012111013 is a deficient number, since it is larger than the sum of its proper divisors (24631492314779).

122001012111013 is an equidigital number, since it uses as much as digits as its factorization.

122001012111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296069501 (or 296069464 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 122001012111013 its reverse (310111210100221), we get a palindrome (432112222211234).

The spelling of 122001012111013 in words is "one hundred twenty-two trillion, one billion, twelve million, one hundred eleven thousand, thirteen".

Divisors: 1 7 37 43 259 301 1369 1591 9583 11137 58867 412069 296069377 2072485639 10954566949 12730983211 76681968643 89116882477 405318977113 471046378807 2837232839791 3297324651649 17428716015859 122001012111013