Base | Representation |
---|---|
bin | 11110000101100010101010… |
… | …111010110110111101000100 |
3 | 122100111212210000122200202200 |
4 | 132011202222322312331010 |
5 | 114320431401310330312 |
6 | 1145231553320034500 |
7 | 36604651652132301 |
oct | 3605425272667504 |
9 | 570455700580680 |
10 | 132322220011332 |
11 | 391865a162173a |
12 | 12a10b23902a30 |
13 | 58aac1623ca50 |
14 | 2496602c420a8 |
15 | 10470108220dc |
hex | 7858aaeb6f44 |
132322220011332 has 144 divisors (see below), whose sum is σ = 362077079892528. Its totient is φ = 40504093286400.
The previous prime is 132322220011321. The next prime is 132322220011369. The reversal of 132322220011332 is 233110022223231.
132322220011332 is a `hidden beast` number, since 1 + 3 + 2 + 322 + 2 + 2 + 0 + 0 + 1 + 1 + 332 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 31484151433476 + 100838068577856 = 5611074^2 + 10041816^2 .
It is a junction number, because it is equal to n+sod(n) for n = 132322220011296 and 132322220011305.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69055008 + ... + 70945320.
Almost surely, 2132322220011332 is an apocalyptic number.
132322220011332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 132322220011332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181038539946264).
132322220011332 is an abundant number, since it is smaller than the sum of its proper divisors (229754859881196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
132322220011332 is a wasteful number, since it uses less digits than its factorization.
132322220011332 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1891110 (or 1891105 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 27.
Adding to 132322220011332 its reverse (233110022223231), we get a palindrome (365432242234563).
The spelling of 132322220011332 in words is "one hundred thirty-two trillion, three hundred twenty-two billion, two hundred twenty million, eleven thousand, three hundred thirty-two".
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