Base | Representation |
---|---|
bin | 11110000011110000111101… |
… | …011000001110110001001001 |
3 | 122100002012121212211121221211 |
4 | 132003300331120032301021 |
5 | 114311431323010224001 |
6 | 1145055522000133121 |
7 | 36563100201604060 |
oct | 3603607530166111 |
9 | 570065555747854 |
10 | 132200123133001 |
11 | 39139837070920 |
12 | 129b13299071a1 |
13 | 589c5587bb691 |
14 | 249073d2231d7 |
15 | 1043c6671e351 |
hex | 783c3d60ec49 |
132200123133001 has 64 divisors (see below), whose sum is σ = 176026532659200. Its totient is φ = 96117980175360.
The previous prime is 132200123132993. The next prime is 132200123133031. The reversal of 132200123133001 is 100331321002231.
It is not a de Polignac number, because 132200123133001 - 23 = 132200123132993 is a prime.
It is a super-3 number, since 3×1322001231330013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (132200123133031) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71239936 + ... + 73072078.
It is an arithmetic number, because the mean of its divisors is an integer number (2750414572800).
Almost surely, 2132200123133001 is an apocalyptic number.
132200123133001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.
It is an amenable number.
132200123133001 is a deficient number, since it is larger than the sum of its proper divisors (43826409526199).
132200123133001 is a wasteful number, since it uses less digits than its factorization.
132200123133001 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1832654.
The product of its (nonzero) digits is 648, while the sum is 22.
Adding to 132200123133001 its reverse (100331321002231), we get a palindrome (232531444135232).
The spelling of 132200123133001 in words is "one hundred thirty-two trillion, two hundred billion, one hundred twenty-three million, one hundred thirty-three thousand, one".
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