Base | Representation |
---|---|
bin | 110000000000101101… |
… | …1001110110111110010 |
3 | 100212010102201201220000 |
4 | 1200001123032313302 |
5 | 3142123400143442 |
6 | 115210453530430 |
7 | 10306664104005 |
oct | 1400133166762 |
9 | 325112651800 |
10 | 103103131122 |
11 | 3a7a9036482 |
12 | 17b95043a16 |
13 | 99516929c4 |
14 | 4dc123153c |
15 | 2a368a0d4c |
hex | 18016cedf2 |
103103131122 has 40 divisors (see below), whose sum is σ = 244617239196. Its totient is φ = 32346079488.
The previous prime is 103103131121. The next prime is 103103131133. The reversal of 103103131122 is 221131301301.
103103131122 is a `hidden beast` number, since 10 + 310 + 31 + 311 + 2 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 90690720201 + 12412410921 = 301149^2 + 111411^2 .
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 = 103103131095 and 103103131104.
It is not an unprimeable number, because it can be changed into a prime (103103131121) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18716043 + ... + 18721550.
Almost surely, 2103103131122 is an apocalyptic number.
103103131122 is an abundant number, since it is smaller than the sum of its proper divisors (141514108074).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103103131122 is a wasteful number, since it uses less digits than its factorization.
103103131122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 37437624 (or 37437615 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 18.
Adding to 103103131122 its reverse (221131301301), we get a palindrome (324234432423).
It can be divided in two parts, 1031031 and 31122, that added together give a triangular number (1062153 = T1457).
The spelling of 103103131122 in words is "one hundred three billion, one hundred three million, one hundred thirty-one thousand, one hundred twenty-two".
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