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90113110032101 = 1324196912704941
BaseRepresentation
bin10100011111010100010111…
…111010011011111011100101
3102211001201200120120020211112
4110133110113322123323211
543302403122132011401
6515353220302114405
724660312605055242
oct2437242772337345
9384051616506745
1090113110032101
1126792834407432
12a13463627ba05
133b38825915a00
1418376d7d525c9
15a640aea003bb
hex51f517e9bee5

90113110032101 has 12 divisors (see below), whose sum is σ = 97580434080420. Its totient is φ = 83179343819520.

The previous prime is 90113110032091. The next prime is 90113110032109. The reversal of 90113110032101 is 10123001131109.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10560517593025 + 79552592439076 = 3249695^2 + 8919226^2 .

It is not a de Polignac number, because 90113110032101 - 26 = 90113110032037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90113110032109) 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 11 ways as a sum of consecutive naturals, for example, 740291 + ... + 13445231.

It is an arithmetic number, because the mean of its divisors is an integer number (8131702840035).

Almost surely, 290113110032101 is an apocalyptic number.

It is an amenable number.

90113110032101 is a deficient number, since it is larger than the sum of its proper divisors (7467324048319).

90113110032101 is a wasteful number, since it uses less digits than its factorization.

90113110032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12746936 (or 12746923 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 23.

The spelling of 90113110032101 in words is "ninety trillion, one hundred thirteen billion, one hundred ten million, thirty-two thousand, one hundred one".

Divisors: 1 13 169 41969 545597 7092761 12704941 165164233 2147135029 533213668829 6931777694777 90113110032101