Base | Representation |
---|---|
bin | 111111001110101… |
… | …0000111111101000 |
3 | 12110212011111102211 |
4 | 1332131100333220 |
5 | 13321112213000 |
6 | 550305134504 |
7 | 103401211441 |
oct | 17635207750 |
9 | 5425144384 |
10 | 2121601000 |
11 | 999652262 |
12 | 4b262a434 |
13 | 27a711c0c |
14 | 161ab02c8 |
15 | c63d27ba |
hex | 7e750fe8 |
2121601000 has 32 divisors (see below), whose sum is σ = 4964548680. Its totient is φ = 848640000.
The previous prime is 2121600997. The next prime is 2121601039. The reversal of 2121601000 is 1061212.
It can be written as a sum of positive squares in 4 ways, for example, as 91738084 + 2029862916 = 9578^2 + 45054^2 .
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 7 ways as a sum of consecutive naturals, for example, 1059801 + ... + 1061800.
Almost surely, 22121601000 is an apocalyptic number.
2121601000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2121601000 is an abundant number, since it is smaller than the sum of its proper divisors (2842947680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2121601000 is a wasteful number, since it uses less digits than its factorization.
2121601000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2121622 (or 2121608 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 13.
The square root of 2121601000 is about 46060.8402007606. The cubic root of 2121601000 is about 1284.9549561040.
Adding to 2121601000 its reverse (1061212), we get a palindrome (2122662212).
The spelling of 2121601000 in words is "two billion, one hundred twenty-one million, six hundred one thousand".
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