Base | Representation |
---|---|
bin | 10100100111001010… |
… | …111000110100110100 |
3 | 2010010102021012022111 |
4 | 110213022320310310 |
5 | 330311243031400 |
6 | 14100045340404 |
7 | 1412310625315 |
oct | 244712706464 |
9 | 63112235274 |
10 | 22132002100 |
11 | 9427a3582a |
12 | 4357b67704 |
13 | 21192bbb40 |
14 | 10dd50260c |
15 | 8980053ba |
hex | 5272b8d34 |
22132002100 has 36 divisors (see below), whose sum is σ = 51720789484. Its totient is φ = 8171815680.
The previous prime is 22132002077. The next prime is 22132002203. The reversal of 22132002100 is 120023122.
It can be written as a sum of positive squares in 6 ways, for example, as 271788196 + 21860213904 = 16486^2 + 147852^2 .
It is a Harshad number since it is a multiple of its sum of digits (13).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8511009 + ... + 8513608.
Almost surely, 222132002100 is an apocalyptic number.
22132002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22132002100 is an abundant number, since it is smaller than the sum of its proper divisors (29588787384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22132002100 is a wasteful number, since it uses less digits than its factorization.
22132002100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17024644 (or 17024637 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 13.
Adding to 22132002100 its reverse (120023122), we get a palindrome (22252025222).
The spelling of 22132002100 in words is "twenty-two billion, one hundred thirty-two million, two thousand, one hundred".
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