Base | Representation |
---|---|
bin | 11101001000100001111… |
… | …000001101101110001010 |
3 | 21002101120102202020020120 |
4 | 131020201320031232022 |
5 | 230300120411104310 |
6 | 4131414452004110 |
7 | 264432666643026 |
oct | 35104170155612 |
9 | 7071512666216 |
10 | 2002023144330 |
11 | 7020649660a0 |
12 | 284009600636 |
13 | 116a367530b1 |
14 | 6cc81451386 |
15 | 37125912b70 |
hex | 1d221e0db8a |
2002023144330 has 128 divisors (see below), whose sum is σ = 5316297981696. Its totient is φ = 478469376000.
The previous prime is 2002023144313. The next prime is 2002023144371. The reversal of 2002023144330 is 334413202002.
It is a super-2 number, since 2×20020231443302 (a number of 25 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 2002023144330.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7636992 + ... + 7894788.
It is an arithmetic number, because the mean of its divisors is an integer number (41533577982).
Almost surely, 22002023144330 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2002023144330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658148990848).
2002023144330 is an abundant number, since it is smaller than the sum of its proper divisors (3314274837366).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2002023144330 is a wasteful number, since it uses less digits than its factorization.
2002023144330 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 258152.
The product of its (nonzero) digits is 3456, while the sum is 24.
Adding to 2002023144330 its reverse (334413202002), we get a palindrome (2336436346332).
The spelling of 2002023144330 in words is "two trillion, two billion, twenty-three million, one hundred forty-four thousand, three hundred thirty".
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