Base | Representation |
---|---|
bin | 111101000011101111… |
… | …1000111111110000000 |
3 | 110112110010100221101111 |
4 | 1322013133013332000 |
5 | 4122014224232034 |
6 | 140123041413104 |
7 | 12321220323115 |
oct | 1720737077600 |
9 | 415403327344 |
10 | 131122102144 |
11 | 50677010080 |
12 | 214b463a194 |
13 | c4984c36b7 |
14 | 64bc51c90c |
15 | 3626613364 |
hex | 1e877c7f80 |
131122102144 has 96 divisors (see below), whose sum is σ = 302716821960. Its totient is φ = 56094842880.
The previous prime is 131122102109. The next prime is 131122102147. The reversal of 131122102144 is 441201221131.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (131122102147) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245794 + ... + 568030.
Almost surely, 2131122102144 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131122102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151358410980).
131122102144 is an abundant number, since it is smaller than the sum of its proper divisors (171594719816).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131122102144 is a wasteful number, since it uses less digits than its factorization.
131122102144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 322296 (or 322267 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 22.
Adding to 131122102144 its reverse (441201221131), we get a palindrome (572323323275).
The spelling of 131122102144 in words is "one hundred thirty-one billion, one hundred twenty-two million, one hundred two thousand, one hundred forty-four".
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