Search a number
-
+
131122102000122 = 23222513236144479
BaseRepresentation
bin11101110100000100111110…
…010011111101100111111010
3122012021011001201212222211200
4131310010332103331213322
5114141301031103000442
61142512355002035030
736422154631300242
oct3564047623754772
9565234051788750
10131122102000122
1138863631262022
12128584127a8a76
1358219b837642c
1424544b4b98b22
151025bc05c534c
hex77413e4fd9fa

131122102000122 has 24 divisors (see below), whose sum is σ = 284224097389440. Its totient is φ = 43687950453000.

The previous prime is 131122102000111. The next prime is 131122102000159. The reversal of 131122102000122 is 221000201221131.

131122102000122 is a `hidden beast` number, since 1 + 311 + 2 + 210 + 20 + 0 + 0 + 122 = 666.

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 = 131122102000095 and 131122102000104.

It is an unprimeable number.

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, 1618031722 + ... + 1618112757.

It is an arithmetic number, because the mean of its divisors is an integer number (11842670724560).

Almost surely, 2131122102000122 is an apocalyptic number.

131122102000122 is an abundant number, since it is smaller than the sum of its proper divisors (153101995389318).

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

131122102000122 is a wasteful number, since it uses less digits than its factorization.

131122102000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3236146738 (or 3236146735 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131122102000122 its reverse (221000201221131), we get a palindrome (352122303221253).

The spelling of 131122102000122 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, one hundred two million, one hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 2251 4502 6753 13506 20259 40518 3236144479 6472288958 9708433437 19416866874 29125300311 58250600622 7284561222229 14569122444458 21853683666687 43707367333374 65561051000061 131122102000122