Base | Representation |
---|---|
bin | 11111000000000000011… |
… | …011101000101010000000 |
3 | 21112122201001000201020212 |
4 | 133000000123220222000 |
5 | 234400334110220412 |
6 | 4310352410253252 |
7 | 306624043632500 |
oct | 37000033505200 |
9 | 7478631021225 |
10 | 2130311023232 |
11 | 751507043307 |
12 | 2a4a50a27228 |
13 | 125b6c9c6202 |
14 | 7517139ba00 |
15 | 3a6332cb222 |
hex | 1f0006e8a80 |
2130311023232 has 192 divisors, whose sum is σ = 5013277664040. Its totient is φ = 898905047040.
The previous prime is 2130311023213. The next prime is 2130311023259. The reversal of 2130311023232 is 2323201130312.
It can be written as a sum of positive squares in 4 ways, for example, as 850570885696 + 1279740137536 = 922264^2 + 1131256^2 .
It is a junction number, because it is equal to n+sod(n) for n = 2130311023198 and 2130311023207.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282493382 + ... + 282500922.
Almost surely, 22130311023232 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 2130311023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506638832020).
2130311023232 is an abundant number, since it is smaller than the sum of its proper divisors (2882966640808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2130311023232 is an equidigital number, since it uses as much as digits as its factorization.
2130311023232 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 8259 (or 8240 counting only the distinct ones).
The product of its (nonzero) digits is 1296, while the sum is 23.
Adding to 2130311023232 its reverse (2323201130312), we get a palindrome (4453512153544).
The spelling of 2130311023232 in words is "two trillion, one hundred thirty billion, three hundred eleven million, twenty-three thousand, two hundred thirty-two".
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