Base | Representation |
---|---|
bin | 11101110000101000010… |
… | …00111101100011010000 |
3 | 10121202100120121122122010 |
4 | 32320110020331203100 |
5 | 113223130232010112 |
6 | 2101425355142520 |
7 | 133606332345360 |
oct | 16702410754320 |
9 | 3552316548563 |
10 | 1022540110032 |
11 | 364725264201 |
12 | 146212744a40 |
13 | 7556aca755c |
14 | 376c3c209a0 |
15 | 1b8ea4d263c |
hex | ee1423d8d0 |
1022540110032 has 160 divisors (see below), whose sum is σ = 3180071065600. Its totient is φ = 276581620224.
The previous prime is 1022540110001. The next prime is 1022540110103. The reversal of 1022540110032 is 2300110452201.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a junction number, because it is equal to n+sod(n) for n = 1022540109990 and 1022540110008.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9066693 + ... + 9178779.
It is an arithmetic number, because the mean of its divisors is an integer number (19875444160).
Almost surely, 21022540110032 is an apocalyptic number.
1022540110032 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 1022540110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590035532800).
1022540110032 is an abundant number, since it is smaller than the sum of its proper divisors (2157530955568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1022540110032 is a wasteful number, since it uses less digits than its factorization.
1022540110032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 113553 (or 113547 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 21.
Adding to 1022540110032 its reverse (2300110452201), we get a palindrome (3322650562233).
The spelling of 1022540110032 in words is "one trillion, twenty-two billion, five hundred forty million, one hundred ten thousand, thirty-two".
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