| Base | Representation |
|---|---|
| bin | 100011110011000… |
| … | …1110000010010100 |
| 3 | 10002201021100102001 |
| 4 | 1013212032002110 |
| 5 | 4430001420200 |
| 6 | 315105525044 |
| 7 | 41524020415 |
| oct | 10746160224 |
| 9 | 3081240361 |
| 10 | 1201201300 |
| 11 | 567057352 |
| 12 | 296343784 |
| 13 | 161b25200 |
| 14 | b576380c |
| 15 | 706c676a |
| hex | 4798e094 |
1201201300 has 216 divisors, whose sum is σ = 3096504936. Its totient is φ = 402554880.
The previous prime is 1201201277. The next prime is 1201201301. The reversal of 1201201300 is 31021021.
It can be written as a sum of positive squares in 36 ways, for example, as 1191354256 + 9847044 = 34516^2 + 3138^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1201201301) 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 71 ways as a sum of consecutive naturals, for example, 10630044 + ... + 10630156.
It is an arithmetic number, because the mean of its divisors is an integer number (14335671).
Almost surely, 21201201300 is an apocalyptic number.
1201201300 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 1201201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548252468).
1201201300 is an abundant number, since it is smaller than the sum of its proper divisors (1895303636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1201201300 is a wasteful number, since it uses less digits than its factorization.
1201201300 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 207 (or 187 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 10.
The square root of 1201201300 is about 34658.3510859937. The cubic root of 1201201300 is about 1063.0130541801.
Adding to 1201201300 its reverse (31021021), we get a palindrome (1232222321).
The spelling of 1201201300 in words is "one billion, two hundred one million, two hundred one thousand, three hundred".
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