| Base | Representation |
|---|---|
| bin | 1011101101111001111… |
| … | …0011011001001101100 |
| 3 | 201020121000100222221210 |
| 4 | 2323132132123021230 |
| 5 | 11244231024404400 |
| 6 | 232250523154420 |
| 7 | 20354266244055 |
| oct | 2733636331154 |
| 9 | 636530328853 |
| 10 | 201301013100 |
| 11 | 7840a1a0640 |
| 12 | 3301b375a10 |
| 13 | 15ca0a20305 |
| 14 | 9a58bc772c |
| 15 | 53827b4950 |
| hex | 2ede79b26c |
201301013100 has 144 divisors (see below), whose sum is σ = 636154283520. Its totient is φ = 48740716800.
The previous prime is 201301013099. The next prime is 201301013101. The reversal of 201301013100 is 1310103102.
It is an interprime number because it is at equal distance from previous prime (201301013099) and next prime (201301013101).
It is a super-2 number, since 2×2013010131002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (201301013101) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2698909 + ... + 2772491.
It is an arithmetic number, because the mean of its divisors is an integer number (4417738080).
Almost surely, 2201301013100 is an apocalyptic number.
201301013100 is a gapful number since it is divisible by the number (20) 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 201301013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318077141760).
201301013100 is an abundant number, since it is smaller than the sum of its proper divisors (434853270420).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201301013100 is a wasteful number, since it uses less digits than its factorization.
201301013100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 74440 (or 74433 counting only the distinct ones).
The product of its (nonzero) digits is 18, while the sum is 12.
Adding to 201301013100 its reverse (1310103102), we get a palindrome (202611116202).
The spelling of 201301013100 in words is "two hundred one billion, three hundred one million, thirteen thousand, one hundred".
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