| Base | Representation |
|---|---|
| bin | 111111100001001… |
| … | …1000111111101100 |
| 3 | 12111112110221100222 |
| 4 | 1333002120333230 |
| 5 | 13331110124400 |
| 6 | 551253510512 |
| 7 | 103550014061 |
| oct | 17702307754 |
| 9 | 5445427328 |
| 10 | 2131333100 |
| 11 | 9a409a116 |
| 12 | 4b5942438 |
| 13 | 27c73b860 |
| 14 | 1630c4c68 |
| 15 | c71a6185 |
| hex | 7f098fec |
2131333100 has 72 divisors (see below), whose sum is σ = 5044052160. Its totient is φ = 776954880.
The previous prime is 2131333097. The next prime is 2131333103. The reversal of 2131333100 is 13331312.
It is an interprime number because it is at equal distance from previous prime (2131333097) and next prime (2131333103).
It is a super-2 number, since 2×21313331002 = 9085161566311220000, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (2131333103) by changing a digit.
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 23 ways as a sum of consecutive naturals, for example, 92324 + ... + 113076.
It is an arithmetic number, because the mean of its divisors is an integer number (70056280).
Almost surely, 22131333100 is an apocalyptic number.
2131333100 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 2131333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2522026080).
2131333100 is an abundant number, since it is smaller than the sum of its proper divisors (2912719060).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2131333100 is a wasteful number, since it uses less digits than its factorization.
2131333100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 20859 (or 20852 counting only the distinct ones).
The product of its (nonzero) digits is 162, while the sum is 17.
The square root of 2131333100 is about 46166.3632962355. The cubic root of 2131333100 is about 1286.9167194874.
Adding to 2131333100 its reverse (13331312), we get a palindrome (2144664412).
The spelling of 2131333100 in words is "two billion, one hundred thirty-one million, three hundred thirty-three thousand, one hundred".
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