Base | Representation |
---|---|
bin | 1010100110011110100110… |
… | …10010010100011001110010 |
3 | 10001112122012112002002000000 |
4 | 11103033103102110121302 |
5 | 11023422124032411010 |
6 | 121325312043010430 |
7 | 4624155220064313 |
oct | 523172322243162 |
9 | 101478175062000 |
10 | 23312332310130 |
11 | 7478782924156 |
12 | 2746104b09a16 |
13 | 10014608a8466 |
14 | 5a847409860a |
15 | 2a661979b7c0 |
hex | 1533d3494672 |
23312332310130 has 112 divisors (see below), whose sum is σ = 63007461258264. Its totient is φ = 6207438032640.
The previous prime is 23312332310093. The next prime is 23312332310159. The reversal of 23312332310130 is 3101323321332.
23312332310130 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 2 + 332 + 310 + 13 + 0 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 23191939271601 + 120393038529 = 4815801^2 + 346977^2 .
It is a super-2 number, since 2×233123323101302 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 23312332310094 and 23312332310103.
It is an unprimeable number.
It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2573550 + ... + 7297110.
Almost surely, 223312332310130 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 23312332310130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31503730629132).
23312332310130 is an abundant number, since it is smaller than the sum of its proper divisors (39695128948134).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23312332310130 is an equidigital number, since it uses as much as digits as its factorization.
23312332310130 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4724263 (or 4724248 counting only the distinct ones).
The product of its (nonzero) digits is 5832, while the sum is 27.
Adding to 23312332310130 its reverse (3101323321332), we get a palindrome (26413655631462).
The spelling of 23312332310130 in words is "twenty-three trillion, three hundred twelve billion, three hundred thirty-two million, three hundred ten thousand, one hundred thirty".
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