Search a number
-
+
12011330211111 = 3371119304076611
BaseRepresentation
bin1010111011001001101100…
…0100100000110100100111
31120112021100020212110112000
42232302123010200310213
53033243201013223421
641313532351500343
72346534650142660
oct256623304406447
946467306773460
1012011330211111
113910a81851140
12141ba622276b3
13691881b6210a
142d74cc688367
1515c69798a226
hexaec9b120d27

12011330211111 has 64 divisors (see below), whose sum is σ = 23353083801600. Its totient is φ = 5911249298400.

The previous prime is 12011330211043. The next prime is 12011330211119. The reversal of 12011330211111 is 11111203311021.

12011330211111 is a `hidden beast` number, since 1 + 2 + 0 + 11 + 330 + 211 + 111 = 666.

It is not a de Polignac number, because 12011330211111 - 27 = 12011330210983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011330211119) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151998805 + ... + 152077806.

It is an arithmetic number, because the mean of its divisors is an integer number (364891934400).

Almost surely, 212011330211111 is an apocalyptic number.

12011330211111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12011330211111 is a deficient number, since it is larger than the sum of its proper divisors (11341753590489).

12011330211111 is a wasteful number, since it uses less digits than its factorization.

12011330211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304076657 (or 304076651 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 12011330211111 its reverse (11111203311021), we get a palindrome (23122533522132).

The spelling of 12011330211111 in words is "twelve trillion, eleven billion, three hundred thirty million, two hundred eleven thousand, one hundred eleven".

Divisors: 1 3 7 9 11 19 21 27 33 57 63 77 99 133 171 189 209 231 297 399 513 627 693 1197 1463 1881 2079 3591 4389 5643 13167 39501 304076611 912229833 2128536277 2736689499 3344842721 5777455609 6385608831 8210068497 10034528163 17332366827 19156826493 23413899047 30103584489 40442189263 51997100481 57470479479 63552011699 70241697141 90310753467 121326567789 155991301443 190656035097 210725091423 363979703367 444864081893 571968105291 632175274269 1091939110101 1334592245679 1715904315873 4003776737037 12011330211111