Search a number
-
+
20122854399 = 32232961179307
BaseRepresentation
bin10010101111011010…
…100110001111111111
31220221101200220210200
4102233122212033333
5312202422320044
613124434334543
71311443303664
oct225732461777
956841626720
1020122854399
11859691038a
123a9712a453
131b88c90b4b
14d8c745a6b
157cb937369
hex4af6a63ff

20122854399 has 96 divisors (see below), whose sum is σ = 32172940800. Its totient is φ = 12078823680.

The previous prime is 20122854377. The next prime is 20122854403. The reversal of 20122854399 is 99345822102.

20122854399 is a `hidden beast` number, since 2 + 0 + 12 + 2 + 8 + 543 + 99 = 666.

It is a de Polignac number, because none of the positive numbers 2k-20122854399 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20122854359) 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 95 ways as a sum of consecutive naturals, for example, 65546604 + ... + 65546910.

It is an arithmetic number, because the mean of its divisors is an integer number (335134800).

Almost surely, 220122854399 is an apocalyptic number.

20122854399 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

20122854399 is a deficient number, since it is larger than the sum of its proper divisors (12050086401).

20122854399 is a wasteful number, since it uses less digits than its factorization.

20122854399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20122854399 in words is "twenty billion, one hundred twenty-two million, eight hundred fifty-four thousand, three hundred ninety-nine".

Divisors: 1 3 9 23 29 61 69 87 179 183 207 261 307 537 549 667 921 1403 1611 1769 2001 2763 4117 4209 5191 5307 6003 7061 8903 10919 12351 12627 15573 15921 18727 21183 26709 32757 37053 40687 46719 54953 56181 63549 80127 98271 119393 122061 164859 168543 204769 251137 316651 358179 366183 430721 494577 543083 614307 753411 949953 1074537 1263919 1292163 1593637 1629249 1842921 2260233 2849859 3352133 3791757 3876489 4780911 4887747 7282973 10056399 11375271 12490909 14342733 21848919 30169197 36653651 37472727 65546757 77099059 97211857 109960953 112418181 231297177 291635571 329882859 693891531 874906713 2235872711 6707618133 20122854399