Base | Representation |
---|---|
bin | 101110000000010011101110… |
… | …100001110010000101111110 |
3 | 222112101200111122210102121000 |
4 | 232000103232201302011332 |
5 | 203004444021212311220 |
6 | 1554153420433551130 |
7 | 60421645520546022 |
oct | 5600235641620576 |
9 | 875350448712530 |
10 | 202331321213310 |
11 | 59518260070593 |
12 | 1a8391ba1154a6 |
13 | 88b89b966b663 |
14 | 37d6c61304382 |
15 | 185d17e335390 |
hex | b804ee87217e |
202331321213310 has 128 divisors (see below), whose sum is σ = 542669247267840. Its totient is φ = 53643497346432.
The previous prime is 202331321213309. The next prime is 202331321213311. The reversal of 202331321213310 is 13312123133202.
202331321213310 is a `hidden beast` number, since 2 + 0 + 2 + 3 + 3 + 1 + 321 + 2 + 1 + 331 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (202331321213309) and next prime (202331321213311).
It is a super-2 number, since 2×2023313212133102 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (202331321213311) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74569287 + ... + 77234973.
It is an arithmetic number, because the mean of its divisors is an integer number (4239603494280).
Almost surely, 2202331321213310 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 202331321213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271334623633920).
202331321213310 is an abundant number, since it is smaller than the sum of its proper divisors (340337926054530).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
202331321213310 is a wasteful number, since it uses less digits than its factorization.
202331321213310 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2667327 (or 2667321 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
Adding to 202331321213310 its reverse (13312123133202), we get a palindrome (215643444346512).
The spelling of 202331321213310 in words is "two hundred two trillion, three hundred thirty-one billion, three hundred twenty-one million, two hundred thirteen thousand, three hundred ten".
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