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1322321010131 = 11217373386179
BaseRepresentation
bin10011001111100000011…
…110010101110111010011
311200102010211021020211002
4103033200132111313103
5133131103134311011
62451244344212215
7164351230063562
oct23174036256723
94612124236732
101322321010131
1146a87a812500
1219433676a06b
13979045c2344
1448001c0bbd9
15245e3812c3b
hex133e0795dd3

1322321010131 has 24 divisors (see below), whose sum is σ = 1463873129040. Its totient is φ = 1193517040320.

The previous prime is 1322321010107. The next prime is 1322321010139. The reversal of 1322321010131 is 1310101232231.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-1322321010131 is a prime.

It is a super-2 number, since 2×13223210101312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1322321010139) 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 in 23 ways as a sum of consecutive naturals, for example, 15300800 + ... + 15386978.

It is an arithmetic number, because the mean of its divisors is an integer number (60994713710).

Almost surely, 21322321010131 is an apocalyptic number.

1322321010131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1322321010131 is a deficient number, since it is larger than the sum of its proper divisors (141552118909).

1322321010131 is a wasteful number, since it uses less digits than its factorization.

1322321010131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87107 (or 87096 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1322321010131 its reverse (1310101232231), we get a palindrome (2632422242362).

The spelling of 1322321010131 in words is "one trillion, three hundred twenty-two billion, three hundred twenty-one million, ten thousand, one hundred thirty-one".

Divisors: 1 11 121 173 733 1903 8063 20933 86179 88693 126809 947969 1394899 10427659 14908967 15343889 63169207 163998637 694861277 1803985007 7643474047 10928272811 120211000921 1322321010131