Base | Representation |
---|---|
bin | 11011110010011100000001… |
… | …100010000000110101110000 |
3 | 121000201110221102000211012121 |
4 | 123302130001202000311300 |
5 | 112004320334421214412 |
6 | 1111532005120004024 |
7 | 34512423000503503 |
oct | 3362340142006560 |
9 | 530643842024177 |
10 | 122213320101232 |
11 | 35a39418114418 |
12 | 11859915760614 |
13 | 532688879a1c9 |
14 | 2227228a9313a |
15 | e1e0b0189107 |
hex | 6f2701880d70 |
122213320101232 has 120 divisors (see below), whose sum is σ = 255488199132816. Its totient is φ = 56610206180352.
The previous prime is 122213320101227. The next prime is 122213320101281. The reversal of 122213320101232 is 232101023312221.
It is a super-2 number, since 2×1222133201012322 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 122213320101197 and 122213320101206.
It is a congruent number.
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, 51865338 + ... + 54170470.
Almost surely, 2122213320101232 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 122213320101232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127744099566408).
122213320101232 is an abundant number, since it is smaller than the sum of its proper divisors (133274879031584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
122213320101232 is a wasteful number, since it uses less digits than its factorization.
122213320101232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2305383 (or 2305358 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 25.
Adding to 122213320101232 its reverse (232101023312221), we get a palindrome (354314343413453).
The spelling of 122213320101232 in words is "one hundred twenty-two trillion, two hundred thirteen billion, three hundred twenty million, one hundred one thousand, two hundred thirty-two".
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