| Base | Representation |
|---|---|
| bin | 111110101001010… |
| … | …0000000101010000 |
| 3 | 12102111021202122221 |
| 4 | 1331102200011100 |
| 5 | 13301103031000 |
| 6 | 544325110424 |
| 7 | 103042502500 |
| oct | 17522400520 |
| 9 | 5374252587 |
| 10 | 2102002000 |
| 11 | 98958623a |
| 12 | 4a7b58414 |
| 13 | 27663c187 |
| 14 | 15d24ba00 |
| 15 | c481061a |
| hex | 7d4a0150 |
2102002000 has 240 divisors, whose sum is σ = 6003700560. Its totient is φ = 709632000.
The previous prime is 2102001997. The next prime is 2102002003. The reversal of 2102002000 is 2002012.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (2102001997) and next prime (2102002003).
It can be written as a sum of positive squares in 8 ways, for example, as 748350736 + 1353651264 = 27356^2 + 36792^2 .
It is a Harshad number since it is a multiple of its sum of digits (7).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2102002003) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8721880 + ... + 8722120.
It is an arithmetic number, because the mean of its divisors is an integer number (25015419).
Almost surely, 22102002000 is an apocalyptic number.
2102002000 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 2102002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001850280).
2102002000 is an abundant number, since it is smaller than the sum of its proper divisors (3901698560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102002000 is a wasteful number, since it uses less digits than its factorization.
2102002000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 367 (or 344 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 7.
The square root of 2102002000 is about 45847.5953567905. The cubic root of 2102002000 is about 1280.9859753409.
Adding to 2102002000 its reverse (2002012), we get a palindrome (2104004012).
The spelling of 2102002000 in words is "two billion, one hundred two million, two thousand".
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