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120032113131 = 3272238543819
BaseRepresentation
bin110111111001001111…
…0001011000111101011
3102110211020121010102200
41233302132023013223
53431311210110011
6131050400431243
711446336061460
oct1576236130753
9373736533380
10120032113131
11469a5aa91a7
121b31a618523
13b41ba4c118
145b49705667
1531c7bea856
hex1bf278b1eb

120032113131 has 24 divisors (see below), whose sum is σ = 199036830720. Its totient is φ = 68282193456.

The previous prime is 120032113127. The next prime is 120032113133. The reversal of 120032113131 is 131311230021.

120032113131 is a `hidden beast` number, since 1 + 200 + 321 + 13 + 131 = 666.

It is not a de Polignac number, because 120032113131 - 22 = 120032113127 is a prime.

It is a super-2 number, since 2×1200321131312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120032113133) 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, 4257861 + ... + 4285958.

It is an arithmetic number, because the mean of its divisors is an integer number (8293201280).

Almost surely, 2120032113131 is an apocalyptic number.

120032113131 is a deficient number, since it is larger than the sum of its proper divisors (79004717589).

120032113131 is a wasteful number, since it uses less digits than its factorization.

120032113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8544055 (or 8544052 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 120032113131 its reverse (131311230021), we get a palindrome (251343343152).

The spelling of 120032113131 in words is "one hundred twenty billion, thirty-two million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 63 223 669 1561 2007 4683 14049 8543819 25631457 59806733 76894371 179420199 538260597 1905271637 5715814911 13336901459 17147444733 40010704377 120032113131