Base | Representation |
---|---|
bin | 111111001111100… |
… | …1011010100010000 |
3 | 12110220002221201120 |
4 | 1332133023110100 |
5 | 13321224231112 |
6 | 550324002240 |
7 | 103405366251 |
oct | 17637132420 |
9 | 5426087646 |
10 | 2122102032 |
11 | 999964736 |
12 | 4b2830380 |
13 | 27a858c9b |
14 | 161ba0b28 |
15 | c6480e8c |
hex | 7e7cb510 |
2122102032 has 80 divisors (see below), whose sum is σ = 5557144320. Its totient is φ = 697747456.
The previous prime is 2122102007. The next prime is 2122102049. The reversal of 2122102032 is 2302012212.
It is a happy 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 15 ways as a sum of consecutive naturals, for example, 1295518 + ... + 1297154.
It is an arithmetic number, because the mean of its divisors is an integer number (69464304).
Almost surely, 22122102032 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 2122102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778572160).
2122102032 is an abundant number, since it is smaller than the sum of its proper divisors (3435042288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2122102032 is a wasteful number, since it uses less digits than its factorization.
2122102032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2000 (or 1994 counting only the distinct ones).
The product of its (nonzero) digits is 96, while the sum is 15.
The square root of 2122102032 is about 46066.2786862581. The cubic root of 2122102032 is about 1285.0560987283.
Adding to 2122102032 its reverse (2302012212), we get a palindrome (4424114244).
The spelling of 2122102032 in words is "two billion, one hundred twenty-two million, one hundred two thousand, thirty-two".
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