Search a number
-
+
131212220441 = 19432334791439
BaseRepresentation
bin111101000110011011…
…0111001100000011001
3110112200101221102110012
41322030312321200121
54122210312023231
6140140021131305
712323363320511
oct1721466714031
9415611842405
10131212220441
1150712972305
122151a859b35
13c4b1087433
1464ca49a841
15362e4b4e2b
hex1e8cdb9819

131212220441 has 32 divisors (see below), whose sum is σ = 142331904000. Its totient is φ = 120558146688.

The previous prime is 131212220423. The next prime is 131212220449. The reversal of 131212220441 is 144022212131.

It is a cyclic number.

It is not a de Polignac number, because 131212220441 - 222 = 131208026137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131212220449) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 91182200 + ... + 91183638.

It is an arithmetic number, because the mean of its divisors is an integer number (4447872000).

Almost surely, 2131212220441 is an apocalyptic number.

It is an amenable number.

131212220441 is a deficient number, since it is larger than the sum of its proper divisors (11119683559).

131212220441 is a wasteful number, since it uses less digits than its factorization.

131212220441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213.

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 131212220441 its reverse (144022212131), we get a palindrome (275234432572).

The spelling of 131212220441 in words is "one hundred thirty-one billion, two hundred twelve million, two hundred twenty thousand, four hundred forty-one".

Divisors: 1 19 43 233 479 817 1439 4427 9101 10019 20597 27341 61877 111607 190361 335287 391343 689281 1175663 2120533 4799101 6370453 13096339 14417341 29639083 91182919 160602473 273929479 563142577 3051446987 6905906339 131212220441