Base | Representation |
---|---|
bin | 11111000001110001000… |
… | …110100110000101101100 |
3 | 21112211120202222101220110 |
4 | 133001301012212011230 |
5 | 234413222020124400 |
6 | 4311304134220020 |
7 | 310021636203126 |
oct | 37016106460554 |
9 | 7484522871813 |
10 | 2132201333100 |
11 | 752297080073 |
12 | 2a5299ab4610 |
13 | 1260b1516267 |
14 | 752b0462216 |
15 | 3a6e4222e50 |
hex | 1f0711a616c |
2132201333100 has 144 divisors (see below), whose sum is σ = 6404617890720. Its totient is φ = 547026278400.
The previous prime is 2132201333099. The next prime is 2132201333191. The reversal of 2132201333100 is 13331022312.
It is a super-2 number, since 2×21322013331002 (a number of 25 digits) contains 22 as substring.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2008614 + ... + 2880786.
It is an arithmetic number, because the mean of its divisors is an integer number (44476513130).
Almost surely, 22132201333100 is an apocalyptic number.
2132201333100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2132201333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3202308945360).
2132201333100 is an abundant number, since it is smaller than the sum of its proper divisors (4272416557620).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132201333100 is a wasteful number, since it uses less digits than its factorization.
2132201333100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 872500 (or 872493 counting only the distinct ones).
The product of its (nonzero) digits is 648, while the sum is 21.
Adding to 2132201333100 its reverse (13331022312), we get a palindrome (2145532355412).
The spelling of 2132201333100 in words is "two trillion, one hundred thirty-two billion, two hundred one million, three hundred thirty-three thousand, one hundred".
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