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113120332321 = 9710037116189
BaseRepresentation
bin110100101011001111…
…1110100101000100001
3101210222112212021121211
41221112133310220201
53323132301113241
6123544453150121
711113140650143
oct1512637645041
9353875767554
10113120332321
1143a79529a57
1219b0b92b341
13a889ac36a9
145691790c93
152e2100a781
hex1a567f4a21

113120332321 has 8 divisors (see below), whose sum is σ = 114298891560. Its totient is φ = 111942025728.

The previous prime is 113120332301. The next prime is 113120332331. The reversal of 113120332321 is 123233021311.

It can be written as a sum of positive squares in 4 ways, for example, as 801512721 + 112318819600 = 28311^2 + 335140^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113120332321 - 215 = 113120299553 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113120332292 and 113120332301.

It is not an unprimeable number, because it can be changed into a prime (113120332301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 915495 + ... + 1031683.

It is an arithmetic number, because the mean of its divisors is an integer number (14287361445).

Almost surely, 2113120332321 is an apocalyptic number.

It is an amenable number.

113120332321 is a deficient number, since it is larger than the sum of its proper divisors (1178559239).

113120332321 is a wasteful number, since it uses less digits than its factorization.

113120332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126323.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 113120332321 its reverse (123233021311), we get a palindrome (236353353632).

The spelling of 113120332321 in words is "one hundred thirteen billion, one hundred twenty million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 97 10037 116189 973589 11270333 1166188993 113120332321