Base | Representation |
---|---|
bin | 11110101101001011110… |
… | …000101111010000010000 |
3 | 21110201112111102212021020 |
4 | 132231023300233100100 |
5 | 234032441100310000 |
6 | 4253211102155440 |
7 | 305310150101613 |
oct | 36551360572020 |
9 | 7421474385236 |
10 | 2110100010000 |
11 | 743985499994 |
12 | 2a0b50282b80 |
13 | 123c9b6a9498 |
14 | 741b506817a |
15 | 39d4dc7cba0 |
hex | 1eb4bc2f410 |
2110100010000 has 800 divisors, whose sum is σ = 7522361573760. Its totient is φ = 507285504000.
The previous prime is 2110100009999. The next prime is 2110100010079. The reversal of 2110100010000 is 100010112.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is an unprimeable number.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1264289166 + ... + 1264290834.
Almost surely, 22110100010000 is an apocalyptic number.
2110100010000 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 2110100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3761180786880).
2110100010000 is an abundant number, since it is smaller than the sum of its proper divisors (5412261563760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2110100010000 is a wasteful number, since it uses less digits than its factorization.
2110100010000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1821 (or 1800 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 6.
Adding to 2110100010000 its reverse (100010112), we get a palindrome (2110200020112).
The spelling of 2110100010000 in words is "two trillion, one hundred ten billion, one hundred million, ten thousand".
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