Base | Representation |
---|---|
bin | 110000011111011111100… |
… | …010110100001000100000 |
3 | 102210120101012121122201002 |
4 | 300133133202310020200 |
5 | 414044123111200000 |
6 | 11030505511331132 |
7 | 462516512331665 |
oct | 60373742641040 |
9 | 12716335548632 |
10 | 3332350100000 |
11 | 1075272836a09 |
12 | 4599b9380aa8 |
13 | 1b231588a7cc |
14 | b7402633a6c |
15 | 5ba36ee78d5 |
hex | 307df8b4220 |
3332350100000 has 144 divisors (see below), whose sum is σ = 8220728730312. Its totient is φ = 1329600000000.
The previous prime is 3332350099937. The next prime is 3332350100039. The reversal of 3332350100000 is 10532333.
It can be written as a sum of positive squares in 12 ways, for example, as 435668642704 + 2896681457296 = 660052^2 + 1701964^2 .
It is a super-2 number, since 2×33323501000002 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
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 23 ways as a sum of consecutive naturals, for example, 40058450 + ... + 40141550.
Almost surely, 23332350100000 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 3332350100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4110364365156).
3332350100000 is an abundant number, since it is smaller than the sum of its proper divisors (4888378630312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3332350100000 is an frugal number, since it uses more digits than its factorization.
3332350100000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 83537 (or 83509 counting only the distinct ones).
The product of its (nonzero) digits is 810, while the sum is 20.
Adding to 3332350100000 its reverse (10532333), we get a palindrome (3332360632333).
The spelling of 3332350100000 in words is "three trillion, three hundred thirty-two billion, three hundred fifty million, one hundred thousand".
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