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101122321113 = 32111922829467
BaseRepresentation
bin101111000101101011…
…1000010101011011001
3100200000101111011101100
41132023113002223121
53124044303233423
6114242134142013
710206622355502
oct1361327025331
9320011434340
10101122321113
1139981a06610
12177217b1909
1396c71a7188
144c7412dba9
15296ca2e343
hex178b5c2ad9

101122321113 has 36 divisors (see below), whose sum is σ = 168172260048. Its totient is φ = 58060642320.

The previous prime is 101122321103. The next prime is 101122321121. The reversal of 101122321113 is 311123221101.

It is not a de Polignac number, because 101122321113 - 26 = 101122321049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101122321103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1378995 + ... + 1450472.

It is an arithmetic number, because the mean of its divisors is an integer number (4671451668).

Almost surely, 2101122321113 is an apocalyptic number.

It is an amenable number.

101122321113 is a deficient number, since it is larger than the sum of its proper divisors (67049938935).

101122321113 is a wasteful number, since it uses less digits than its factorization.

101122321113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2829522 (or 2829500 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101122321113 its reverse (311123221101), we get a palindrome (412245542214).

The spelling of 101122321113 in words is "one hundred one billion, one hundred twenty-two million, three hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 11 19 33 57 99 171 209 361 627 1083 1881 3249 3971 11913 35739 2829467 8488401 25465203 31124137 53759873 93372411 161279619 280117233 483838857 591358603 1021437587 1774075809 3064312761 5322227427 9192938283 11235813457 33707440371 101122321113