Base | Representation |
---|---|
bin | 1001000111010111010110… |
… | …0011110101111111011110 |
3 | 1022111002212112200011110100 |
4 | 2101311311203311333132 |
5 | 2303200311021011110 |
6 | 33152034201521530 |
7 | 2053034515122465 |
oct | 221656543657736 |
9 | 38432775604410 |
10 | 10022131032030 |
11 | 32143a8766a37 |
12 | 115a4334a32a6 |
13 | 579110197950 |
14 | 26910645b9dc |
15 | 125a72d05bc0 |
hex | 91d758f5fde |
10022131032030 has 96 divisors (see below), whose sum is σ = 28071881562816. Its totient is φ = 2466114481152.
The previous prime is 10022131031923. The next prime is 10022131032041. The reversal of 10022131032030 is 3023013122001.
10022131032030 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 2 + 1 + 310 + 320 + 30 = 666.
It is a super-2 number, since 2×100221310320302 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a Curzon number.
It is a junction number, because it is equal to n+sod(n) for n = 10022131031994 and 10022131032012.
It is a congruent number.
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, 1802799 + ... + 4826421.
It is an arithmetic number, because the mean of its divisors is an integer number (292415432946).
Almost surely, 210022131032030 is an apocalyptic number.
10022131032030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 10022131032030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14035940781408).
10022131032030 is an abundant number, since it is smaller than the sum of its proper divisors (18049750530786).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10022131032030 is a wasteful number, since it uses less digits than its factorization.
10022131032030 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3026482 (or 3026479 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10022131032030 its reverse (3023013122001), we get a palindrome (13045144154031).
The spelling of 10022131032030 in words is "ten trillion, twenty-two billion, one hundred thirty-one million, thirty-two thousand, thirty".
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