Base | Representation |
---|---|
bin | 11101001000100111010… |
… | …000001001001000111110 |
3 | 21002101210201101202211100 |
4 | 131020213100021020332 |
5 | 230300312001144402 |
6 | 4131431432233530 |
7 | 264435143166423 |
oct | 35104720111076 |
9 | 7071721352740 |
10 | 2002113303102 |
11 | 702100845780 |
12 | 28403383b8a6 |
13 | 116a4c32c393 |
14 | 6cc8d3ddd4a |
15 | 3712d7c171c |
hex | 1d22740923e |
2002113303102 has 96 divisors (see below), whose sum is σ = 4849532064000. Its totient is φ = 591842972160.
The previous prime is 2002113303101. The next prime is 2002113303121. The reversal of 2002113303102 is 2013033112002.
2002113303102 is a `hidden beast` number, since 2 + 0 + 0 + 21 + 1 + 330 + 310 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2002113303101) 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, 633774 + ... + 2099022.
It is an arithmetic number, because the mean of its divisors is an integer number (50515959000).
Almost surely, 22002113303102 is an apocalyptic number.
2002113303102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2002113303102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424766032000).
2002113303102 is an abundant number, since it is smaller than the sum of its proper divisors (2847418760898).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002113303102 is a wasteful number, since it uses less digits than its factorization.
2002113303102 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1465438 (or 1465435 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 2002113303102 its reverse (2013033112002), we get a palindrome (4015146415104).
The spelling of 2002113303102 in words is "two trillion, two billion, one hundred thirteen million, three hundred three thousand, one hundred two".
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