| Base | Representation |
|---|---|
| bin | 1011101100110010001… |
| … | …1010111111111101000 |
| 3 | 201012211001120020221100 |
| 4 | 2323030203113333220 |
| 5 | 11243122040233000 |
| 6 | 232201022241400 |
| 7 | 20343655352523 |
| oct | 2731443277750 |
| 9 | 635731506840 |
| 10 | 201000321000 |
| 11 | 78275494176 |
| 12 | 32b56726260 |
| 13 | 15c5363c4ab |
| 14 | 9a2acb3bba |
| 15 | 53661baa00 |
| hex | 2ecc8d7fe8 |
201000321000 has 192 divisors, whose sum is σ = 679963050000. Its totient is φ = 53554176000.
The previous prime is 201000320999. The next prime is 201000321001. The reversal of 201000321000 is 123000102.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (201000320999) and next prime (201000321001).
It can be written as a sum of positive squares in 8 ways, for example, as 982070244 + 200018250756 = 31338^2 + 447234^2 .
It is a super-2 number, since 2×2010003210002 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (201000321001) 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, 11232060 + ... + 11249940.
Almost surely, 2201000321000 is an apocalyptic number.
201000321000 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 201000321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339981525000).
201000321000 is an abundant number, since it is smaller than the sum of its proper divisors (478962729000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
201000321000 is a wasteful number, since it uses less digits than its factorization.
201000321000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 19157 (or 19140 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
Adding to 201000321000 its reverse (123000102), we get a palindrome (201123321102).
The spelling of 201000321000 in words is "two hundred one billion, three hundred twenty-one thousand".
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