Base | Representation |
---|---|
bin | 1100111111001110100… |
… | …1101101110110111010 |
3 | 210022221101120220102220 |
4 | 3033303221231312322 |
5 | 12123433032200242 |
6 | 250301030304510 |
7 | 22056253215441 |
oct | 3176351556672 |
9 | 708841526386 |
10 | 223131131322 |
11 | 866a1785560 |
12 | 372b21b8136 |
13 | 1806c601a28 |
14 | ab2a185d58 |
15 | 5c0e037bec |
hex | 33f3a6ddba |
223131131322 has 64 divisors (see below), whose sum is σ = 520572624768. Its totient is φ = 63008000000.
The previous prime is 223131131317. The next prime is 223131131413.
223131131322 is nontrivially palindromic in base 10.
It is a super-3 number, since 3×2231311313223 (a number of 35 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 223131131292 and 223131131301.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 871179 + ... + 1097822.
It is an arithmetic number, because the mean of its divisors is an integer number (8133947262).
Almost surely, 2223131131322 is an apocalyptic number.
223131131322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
223131131322 is an abundant number, since it is smaller than the sum of its proper divisors (297441493446).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223131131322 is a wasteful number, since it uses less digits than its factorization.
223131131322 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1969135.
The product of its digits is 1296, while the sum is 24.
It can be divided in two parts, 223131 and 131322, that added together give a palindrome (354453).
The spelling of 223131131322 in words is "two hundred twenty-three billion, one hundred thirty-one million, one hundred thirty-one thousand, three hundred twenty-two".
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