| Base | Representation |
|---|---|
| bin | 100110110010000… |
| … | …1100010001101100 |
| 3 | 10100200200120102020 |
| 4 | 1031210030101230 |
| 5 | 10131120124400 |
| 6 | 333044030140 |
| 7 | 44151102024 |
| oct | 11544142154 |
| 9 | 3320616366 |
| 10 | 1301333100 |
| 11 | 608628901 |
| 12 | 303992350 |
| 13 | 1797b39b2 |
| 14 | c4b8aa84 |
| 15 | 793a52a0 |
| hex | 4d90c46c |
1301333100 has 144 divisors (see below), whose sum is σ = 3958080000. Its totient is φ = 329472000.
The previous prime is 1301333081. The next prime is 1301333101. The reversal of 1301333100 is 13331031.
It is a super-2 number, since 2×13013331002 = 3386935674311220000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 1301333100.
It is not an unprimeable number, because it can be changed into a prime (1301333101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041276 + ... + 1042524.
Almost surely, 21301333100 is an apocalyptic number.
1301333100 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 1301333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979040000).
1301333100 is an abundant number, since it is smaller than the sum of its proper divisors (2656746900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1301333100 is a wasteful number, since it uses less digits than its factorization.
1301333100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1440 (or 1433 counting only the distinct ones).
The product of its (nonzero) digits is 81, while the sum is 15.
The square root of 1301333100 is about 36073.9947884899. The cubic root of 1301333100 is about 1091.7658160890.
Adding to 1301333100 its reverse (13331031), we get a palindrome (1314664131).
The spelling of 1301333100 in words is "one billion, three hundred one million, three hundred thirty-three thousand, one hundred".
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