Search a number
-
+
20330302210020 = 223251110267829399
BaseRepresentation
bin1001001111101100001000…
…11100001111111111100100
32122222120001201100021222200
410213312010130033333210
510131042424331210040
6111123340100454500
74165546561336005
oct447660434177744
978876051307880
1020330302210020
11652903a651210
1223441950aa430
13b461a6c9a41a
14503dc59d51ac
15253c87967630
hex127d8470ffe4

20330302210020 has 72 divisors (see below), whose sum is σ = 67274818228800. Its totient is φ = 4928558111040.

The previous prime is 20330302209979. The next prime is 20330302210021. The reversal of 20330302210020 is 2001220303302.

It is a happy number.

20330302210020 is a `hidden beast` number, since 2 + 0 + 330 + 302 + 2 + 10 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20330302209975 and 20330302210002.

It is not an unprimeable number, because it can be changed into a prime (20330302210021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5133912720 + ... + 5133916679.

It is an arithmetic number, because the mean of its divisors is an integer number (934372475400).

Almost surely, 220330302210020 is an apocalyptic number.

20330302210020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20330302210020 is an abundant number, since it is smaller than the sum of its proper divisors (46944516018780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20330302210020 is a wasteful number, since it uses less digits than its factorization.

20330302210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10267829425 (or 10267829420 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20330302210020 its reverse (2001220303302), we get a palindrome (22331522513322).

The spelling of 20330302210020 in words is "twenty trillion, three hundred thirty billion, three hundred two million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 10267829399 20535658798 30803488197 41071317596 51339146995 61606976394 92410464591 102678293990 112946123389 123213952788 154017440985 184820929182 205356587980 225892246778 308034881970 338838370167 369641858364 451784493556 462052322955 564730616945 616069763940 677676740334 924104645910 1016515110501 1129461233890 1355353480668 1694191850835 1848209291820 2033030221002 2258922467780 3388383701670 4066060442004 5082575552505 6776767403340 10165151105010 20330302210020