Search a number
-
+
211431242313 = 3297463691757
BaseRepresentation
bin1100010011101001001…
…0001011101001001001
3202012202000011221222100
43010322102023221021
511431002344223223
6241044041144013
721163314623034
oct3047222135111
9665660157870
10211431242313
11817384737a5
1234b87a8b009
1316c266a6695
14a33a36a01b
155776ce9043
hex313a48ba49

211431242313 has 48 divisors (see below), whose sum is σ = 310072112896. Its totient is φ = 138814663680.

The previous prime is 211431242311. The next prime is 211431242357. The reversal of 211431242313 is 313242134112.

211431242313 is a `hidden beast` number, since 2 + 114 + 312 + 4 + 231 + 3 = 666.

It is not a de Polignac number, because 211431242313 - 21 = 211431242311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211431242311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279301131 + ... + 279301887.

Almost surely, 2211431242313 is an apocalyptic number.

It is an amenable number.

211431242313 is a deficient number, since it is larger than the sum of its proper divisors (98640870583).

211431242313 is a wasteful number, since it uses less digits than its factorization.

211431242313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 2011 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 211431242313 its reverse (313242134112), we get a palindrome (524673376425).

The spelling of 211431242313 in words is "two hundred eleven billion, four hundred thirty-one million, two hundred forty-two thousand, three hundred thirteen".

Divisors: 1 3 9 97 291 463 691 757 873 1389 2073 2271 4167 6219 6813 44911 67027 73429 134733 201081 220287 319933 350491 404199 523087 603243 660861 959799 1051473 1569261 2879397 3154419 4707783 31033501 33997627 50739439 93100503 101992881 152218317 242189281 279301509 305978643 456654951 726567843 2179703529 23492360257 70477080771 211431242313