Base | Representation |
---|---|
bin | 10000001001110001010… |
… | …001111110011111110010 |
3 | 10221010002221210002210200 |
4 | 100021301101332133302 |
5 | 121141241014201320 |
6 | 2205532233140030 |
7 | 143123613114363 |
oct | 20116121763762 |
9 | 3833087702720 |
10 | 1110002100210 |
11 | 39882727aa13 |
12 | 15b16155a616 |
13 | 8089904c673 |
14 | 3ba1da15b6a |
15 | 1dd18b26290 |
hex | 1027147e7f2 |
1110002100210 has 144 divisors (see below), whose sum is σ = 2999648850120. Its totient is φ = 284771128320.
The previous prime is 1110002100197. The next prime is 1110002100227. The reversal of 1110002100210 is 120012000111.
It is a happy number.
It can be written as a sum of positive squares in 12 ways, for example, as 4671585801 + 1105330514409 = 68349^2 + 1051347^2 .
It is a super-2 number, since 2×11100021002102 (a number of 25 digits) contains 22 as substring.
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 = 1110002100192 and 1110002100201.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21242796 + ... + 21294984.
Almost surely, 21110002100210 is an apocalyptic number.
1110002100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 1110002100210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499824425060).
1110002100210 is an abundant number, since it is smaller than the sum of its proper divisors (1889646749910).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1110002100210 is a wasteful number, since it uses less digits than its factorization.
1110002100210 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52541 (or 52509 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 1110002100210 its reverse (120012000111), we get a palindrome (1230014100321).
The spelling of 1110002100210 in words is "one trillion, one hundred ten billion, two million, one hundred thousand, two hundred ten".
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