Base | Representation |
---|---|
bin | 10010110111110110… |
… | …00001010010011110 |
3 | 222011010101200120000 |
4 | 21123323001102132 |
5 | 131222311224042 |
6 | 4353222435130 |
7 | 506040465264 |
oct | 113373012236 |
9 | 28133350500 |
10 | 10132133022 |
11 | 432a363560 |
12 | 1b69292aa6 |
13 | c561a1aab |
14 | 6c191a434 |
15 | 3e47ad74c |
hex | 25bec149e |
10132133022 has 160 divisors (see below), whose sum is σ = 25393319424. Its totient is φ = 2993760000.
The previous prime is 10132133017. The next prime is 10132133051. The reversal of 10132133022 is 22033123101.
10132133022 is a `hidden beast` number, since 10 + 1 + 321 + 330 + 2 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10132132986 and 10132133004.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13491147 + ... + 13491897.
Almost surely, 210132133022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 10132133022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12696659712).
10132133022 is an abundant number, since it is smaller than the sum of its proper divisors (15261186402).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10132133022 is a wasteful number, since it uses less digits than its factorization.
10132133022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 956 (or 947 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10132133022 its reverse (22033123101), we get a palindrome (32165256123).
It can be divided in two parts, 101 and 32133022, that added together give a palindrome (32133123).
The spelling of 10132133022 in words is "ten billion, one hundred thirty-two million, one hundred thirty-three thousand, twenty-two".
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