Search a number
-
+
11827312299 = 32111923992621
BaseRepresentation
bin10110000001111011…
…00111011010101011
31010112021011201100200
423000331213122223
5143210242443144
65233340203243
7566043332025
oct130075473253
933467151320
1011827312299
11501a233870
122360b39523
13116645105a
14802b09015
1549350dc69
hex2c0f676ab

11827312299 has 48 divisors (see below), whose sum is σ = 19633536000. Its totient is φ = 6785380800.

The previous prime is 11827312207. The next prime is 11827312319. The reversal of 11827312299 is 99221372811.

It is not a de Polignac number, because 11827312299 - 29 = 11827311787 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11827312099) 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 47 ways as a sum of consecutive naturals, for example, 4511209 + ... + 4513829.

It is an arithmetic number, because the mean of its divisors is an integer number (409032000).

Almost surely, 211827312299 is an apocalyptic number.

11827312299 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

11827312299 is a deficient number, since it is larger than the sum of its proper divisors (7806223701).

11827312299 is a wasteful number, since it uses less digits than its factorization.

11827312299 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5056 (or 5053 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

It can be divided in two parts, 1182731 and 2299, that added together give a triangular number (1185030 = T1539).

The spelling of 11827312299 in words is "eleven billion, eight hundred twenty-seven million, three hundred twelve thousand, two hundred ninety-nine".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 2399 2621 7197 7863 21591 23589 26389 28831 45581 49799 79167 86493 136743 149397 237501 259479 410229 448191 501391 547789 1504173 1643367 4512519 4930101 6287779 18863337 56590011 69165569 119467801 207496707 358403403 622490121 1075210209 1314145811 3942437433 11827312299