Base | Representation |
---|---|
bin | 1011101000010111… |
… | …1100010101000000 |
3 | 22001120211010111002 |
4 | 2322011330111000 |
5 | 22343230320000 |
6 | 1233445511132 |
7 | 140240403446 |
oct | 27205742500 |
9 | 8046733432 |
10 | 3122120000 |
11 | 136239aa6a |
12 | 7317124a8 |
13 | 3a9aa13ac |
14 | 218914b96 |
15 | 1341678d5 |
hex | ba17c540 |
3122120000 has 140 divisors (see below), whose sum is σ = 7837756740. Its totient is φ = 1233408000.
The previous prime is 3122119999. The next prime is 3122120011. The reversal of 3122120000 is 212213.
It is a happy number.
It can be written as a sum of positive squares in 10 ways, for example, as 2339463424 + 782656576 = 48368^2 + 27976^2 .
It is a super-3 number, since 3×31221200003 (a number of 29 digits) contains 333 as substring.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3559562 + ... + 3560438.
Almost surely, 23122120000 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 3122120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918878370).
3122120000 is an abundant number, since it is smaller than the sum of its proper divisors (4715636740).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3122120000 is an frugal number, since it uses more digits than its factorization.
3122120000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 998 (or 973 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 11.
The square root of 3122120000 is about 55875.9339966680. The cubic root of 3122120000 is about 1461.5596019387.
Adding to 3122120000 its reverse (212213), we get a palindrome (3122332213).
The spelling of 3122120000 in words is "three billion, one hundred twenty-two million, one hundred twenty thousand".
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