| Base | Representation |
|---|---|
| bin | 10111111101101… |
| … | …01001011010000 |
| 3 | 112000020212202100 |
| 4 | 23332311023100 |
| 5 | 402430120422 |
| 6 | 31540320400 |
| 7 | 4660433316 |
| oct | 1376651320 |
| 9 | 460225670 |
| 10 | 201020112 |
| 11 | a351a427 |
| 12 | 573a3100 |
| 13 | 32853717 |
| 14 | 1c9aa0b6 |
| 15 | 129ab7ac |
| hex | bfb52d0 |
201020112 has 120 divisors (see below), whose sum is σ = 598164840. Its totient is φ = 62899200.
The previous prime is 201020101. The next prime is 201020123. The reversal of 201020112 is 211020102.
It is an interprime number because it is at equal distance from previous prime (201020101) and next prime (201020123).
It can be written as a sum of positive squares in 4 ways, for example, as 13220496 + 187799616 = 3636^2 + 13704^2 .
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 = 201020094 and 201020103.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153862 + ... + 155162.
It is an arithmetic number, because the mean of its divisors is an integer number (4984707).
Almost surely, 2201020112 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 201020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299082420).
201020112 is an abundant number, since it is smaller than the sum of its proper divisors (397144728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201020112 is a wasteful number, since it uses less digits than its factorization.
201020112 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1381 (or 1372 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 201020112 is about 14178.1561565670. The cubic root of 201020112 is about 585.7961371574.
Adding to 201020112 its reverse (211020102), we get a palindrome (412040214).
It can be divided in two parts, 2010 and 20112, that added together give a palindrome (22122).
The spelling of 201020112 in words is "two hundred one million, twenty thousand, one hundred twelve".
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