Base | Representation |
---|---|
bin | 11110001111101111011010… |
… | …101100110101100101100100 |
3 | 122102222212212122110202211100 |
4 | 132033233122230311211210 |
5 | 114413422302413430312 |
6 | 1150525545154440100 |
7 | 40006413312651501 |
oct | 3617573254654544 |
9 | 572885778422740 |
10 | 133023101311332 |
11 | 39426864870041 |
12 | 12b04927593030 |
13 | 592c04215687b |
14 | 24bc4d11d64a8 |
15 | 105a381e605dc |
hex | 78fbdab35964 |
133023101311332 has 18 divisors (see below), whose sum is σ = 336252839425958. Its totient is φ = 44341033770432.
The previous prime is 133023101311313. The next prime is 133023101311333. The reversal of 133023101311332 is 233113101320331.
133023101311332 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 3 + 10 + 1 + 311 + 332 = 666.
It can be written as a sum of positive squares in only one way, i.e., 79816784832576 + 53206316478756 = 8934024^2 + 7294266^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a super-2 number, since 2×1330231013113322 (a number of 29 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 133023101311296 and 133023101311305.
It is not an unprimeable number, because it can be changed into a prime (133023101311333) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1847543073733 + ... + 1847543073804.
Almost surely, 2133023101311332 is an apocalyptic number.
133023101311332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
133023101311332 is an abundant number, since it is smaller than the sum of its proper divisors (203229738114626).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
133023101311332 is a wasteful number, since it uses less digits than its factorization.
133023101311332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3695086147547 (or 3695086147542 counting only the distinct ones).
The product of its (nonzero) digits is 2916, while the sum is 27.
Adding to 133023101311332 its reverse (233113101320331), we get a palindrome (366136202631663).
The spelling of 133023101311332 in words is "one hundred thirty-three trillion, twenty-three billion, one hundred one million, three hundred eleven thousand, three hundred thirty-two".
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