Base | Representation |
---|---|
bin | 110000011101100110101… |
… | …011000100110000101010 |
3 | 102210101010212210210020000 |
4 | 300131212223010300222 |
5 | 414030444442101442 |
6 | 11025532351043430 |
7 | 462415326550410 |
oct | 60354653046052 |
9 | 12711125723200 |
10 | 3330322222122 |
11 | 1074422089285 |
12 | 459532210576 |
13 | 1b208170237c |
14 | b728d19d2b0 |
15 | 5b968e79d4c |
hex | 30766ac4c2a |
3330322222122 has 160 divisors (see below), whose sum is σ = 8907405978240. Its totient is φ = 910111593600.
The previous prime is 3330322222057. The next prime is 3330322222127. The reversal of 3330322222122 is 2212222230333.
3330322222122 is a `hidden beast` number, since 3 + 330 + 322 + 2 + 2 + 2 + 1 + 2 + 2 = 666.
It is a super-2 number, since 2×33303222221222 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (3330322222127) by changing a digit.
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 79 ways as a sum of consecutive naturals, for example, 1802872 + ... + 3148172.
It is an arithmetic number, because the mean of its divisors is an integer number (55671287364).
Almost surely, 23330322222122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 3330322222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4453702989120).
3330322222122 is an abundant number, since it is smaller than the sum of its proper divisors (5577083756118).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3330322222122 is a wasteful number, since it uses less digits than its factorization.
3330322222122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1345418 (or 1345409 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 27.
Adding to 3330322222122 its reverse (2212222230333), we get a palindrome (5542544452455).
The spelling of 3330322222122 in words is "three trillion, three hundred thirty billion, three hundred twenty-two million, two hundred twenty-two thousand, one hundred twenty-two".
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