Base | Representation |
---|---|
bin | 100110110001011… |
… | …1101101001001100 |
3 | 10100200002012121100 |
4 | 1031202331221030 |
5 | 10131024323040 |
6 | 333033103100 |
7 | 44145261021 |
oct | 11542755114 |
9 | 3320065540 |
10 | 1301011020 |
11 | 608428921 |
12 | 303857a90 |
13 | 17970020a |
14 | c4b05548 |
15 | 7933eb30 |
hex | 4d8bda4c |
1301011020 has 144 divisors (see below), whose sum is σ = 4291848288. Its totient is φ = 317675520.
The previous prime is 1301011001. The next prime is 1301011067. The reversal of 1301011020 is 201101031.
1301011020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×13010110202 = 3385259348322880800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 1301010993 and 1301011011.
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, 107475 + ... + 118965.
It is an arithmetic number, because the mean of its divisors is an integer number (29804502).
Almost surely, 21301011020 is an apocalyptic number.
1301011020 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 1301011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145924144).
1301011020 is an abundant number, since it is smaller than the sum of its proper divisors (2990837268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1301011020 is a wasteful number, since it uses less digits than its factorization.
1301011020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 11560 (or 11555 counting only the distinct ones).
The product of its (nonzero) digits is 6, while the sum is 9.
The square root of 1301011020 is about 36069.5303545804. The cubic root of 1301011020 is about 1091.6757379611.
Adding to 1301011020 its reverse (201101031), we get a palindrome (1502112051).
The spelling of 1301011020 in words is "one billion, three hundred one million, eleven thousand, twenty".
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