Base | Representation |
---|---|
bin | 10010111011111100010… |
… | …011111111010110000100 |
3 | 11121101220202102001011202 |
4 | 102323330103333112010 |
5 | 132310042141101040 |
6 | 2433452014322032 |
7 | 163005516611120 |
oct | 22737423772604 |
9 | 4541822361152 |
10 | 1301313222020 |
11 | 46197a430349 |
12 | 1902531b9318 |
13 | 959371b16a6 |
14 | 46dabb4c580 |
15 | 23cb4378015 |
hex | 12efc4ff584 |
1301313222020 has 144 divisors (see below), whose sum is σ = 3436682471040. Its totient is φ = 404304265728.
The previous prime is 1301313222007. The next prime is 1301313222023. The reversal of 1301313222020 is 202223131031.
It is a super-2 number, since 2×13013132220202 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 1301313221983 and 1301313222001.
It is not an unprimeable number, because it can be changed into a prime (1301313222023) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 944744 + ... + 1869536.
Almost surely, 21301313222020 is an apocalyptic number.
1301313222020 is a gapful number since it is divisible by the number (10) 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 1301313222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718341235520).
1301313222020 is an abundant number, since it is smaller than the sum of its proper divisors (2135369249020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1301313222020 is a wasteful number, since it uses less digits than its factorization.
1301313222020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 924874 (or 924849 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 20.
Adding to 1301313222020 its reverse (202223131031), we get a palindrome (1503536353051).
The spelling of 1301313222020 in words is "one trillion, three hundred one billion, three hundred thirteen million, two hundred twenty-two thousand, twenty".
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