Base | Representation |
---|---|
bin | 111101000110000100… |
… | …1100010100110001010 |
3 | 110112122120120100000000 |
4 | 1322030021202212022 |
5 | 4122144241030442 |
6 | 140134514223430 |
7 | 12323160256041 |
oct | 1721411424612 |
9 | 415576510000 |
10 | 131200330122 |
11 | 507071909a4 |
12 | 21516884b76 |
13 | c4ab783344 |
14 | 64c8a83558 |
15 | 362d416d4c |
hex | 1e8c26298a |
131200330122 has 72 divisors (see below), whose sum is σ = 296041882500. Its totient is φ = 43606610496.
The previous prime is 131200330111. The next prime is 131200330123. The reversal of 131200330122 is 221033002131.
131200330122 is a `hidden beast` number, since 1 + 312 + 0 + 0 + 330 + 1 + 22 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 129865816161 + 1334513961 = 360369^2 + 36531^2 .
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 = 131200330095 and 131200330104.
It is not an unprimeable number, because it can be changed into a prime (131200330123) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4565254 + ... + 4593902.
Almost surely, 2131200330122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131200330122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148020941250).
131200330122 is an abundant number, since it is smaller than the sum of its proper divisors (164841552378).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131200330122 is an frugal number, since it uses more digits than its factorization.
131200330122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 29024 (or 29003 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 131200330122 its reverse (221033002131), we get a palindrome (352233332253).
The spelling of 131200330122 in words is "one hundred thirty-one billion, two hundred million, three hundred thirty thousand, one hundred twenty-two".
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