| Base | Representation |
|---|---|
| bin | 111011101010100… |
| … | …010000010010000 |
| 3 | 2120202120022222200 |
| 4 | 323222202002100 |
| 5 | 4022224131300 |
| 6 | 243155003200 |
| 7 | 33543255336 |
| oct | 7352420220 |
| 9 | 2522508880 |
| 10 | 1001005200 |
| 11 | 474050028 |
| 12 | 23b299500 |
| 13 | 12c4cc890 |
| 14 | 96d2db56 |
| 15 | 5cd2e200 |
| hex | 3baa2090 |
1001005200 has 360 divisors, whose sum is σ = 3805167912. Its totient is φ = 242196480.
The previous prime is 1001005183. The next prime is 1001005207. The reversal of 1001005200 is 25001001.
It is a happy number.
It can be written as a sum of positive squares in 12 ways, for example, as 166719744 + 834285456 = 12912^2 + 28884^2 .
It is a tau number, because it is divible by the number of its divisors (360).
It is a super-2 number, since 2×10010052002 = 2004022820854080000, which 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 (1001005207) by changing a digit.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3416254 + ... + 3416546.
Almost surely, 21001005200 is an apocalyptic number.
1001005200 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 1001005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902583956).
1001005200 is an abundant number, since it is smaller than the sum of its proper divisors (2804162712).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1001005200 is a wasteful number, since it uses less digits than its factorization.
1001005200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 403 (or 389 counting only the distinct ones).
The product of its (nonzero) digits is 10, while the sum is 9.
The square root of 1001005200 is about 31638.6662171464. Note that the first 3 decimals coincide. The cubic root of 1001005200 is about 1000.3349544596.
Adding to 1001005200 its reverse (25001001), we get a palindrome (1026006201).
The spelling of 1001005200 in words is "one billion, one million, five thousand, two hundred".
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