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31120132122 = 234192099581
BaseRepresentation
bin11100111110111001…
…111000100000011010
32222022211000111210000
4130332321320200122
51002213223211442
622144004233430
72151120521112
oct347671704032
988284014700
1031120132122
111221a559962
12604609b876
132c1c474381
141713108042
15c22139d4c
hex73ee7881a

31120132122 has 20 divisors (see below), whose sum is σ = 69732148266. Its totient is φ = 10373377320.

The previous prime is 31120132093. The next prime is 31120132151. The reversal of 31120132122 is 22123102113.

31120132122 is a `hidden beast` number, since 311 + 201 + 32 + 122 = 666.

It is an interprime number because it is at equal distance from previous prime (31120132093) and next prime (31120132151).

It can be written as a sum of positive squares in only one way, i.e., 26945550801 + 4174581321 = 164151^2 + 64611^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31120132095 and 31120132104.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 96049629 + ... + 96049952.

Almost surely, 231120132122 is an apocalyptic number.

31120132122 is an abundant number, since it is smaller than the sum of its proper divisors (38612016144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31120132122 is a wasteful number, since it uses less digits than its factorization.

31120132122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192099595 (or 192099586 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 31120132122 its reverse (22123102113), we get a palindrome (53243234235).

The spelling of 31120132122 in words is "thirty-one billion, one hundred twenty million, one hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 192099581 384199162 576298743 1152597486 1728896229 3457792458 5186688687 10373377374 15560066061 31120132122