Search a number
-
+
12201110021111 = 1117434433425197
BaseRepresentation
bin1011000110001100101011…
…0101000010001111110111
31121012102012100001200222212
42301203022311002033313
53044400333131133421
641541040151444035
72366333611000454
oct261431265021767
947172170050885
1012201110021111
113984509585320
1214507a708661b
136a673798aa8b
1430277328a82b
151625a3a59e5b
hexb18cad423f7

12201110021111 has 32 divisors (see below), whose sum is σ = 14453568315648. Its totient is φ = 10173654167040.

The previous prime is 12201110021101. The next prime is 12201110021143. The reversal of 12201110021111 is 11112001110221.

It is a de Polignac number, because none of the positive numbers 2k-12201110021111 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12201110021101) 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 31 ways as a sum of consecutive naturals, for example, 1849565 + ... + 5274761.

It is an arithmetic number, because the mean of its divisors is an integer number (451674009864).

Almost surely, 212201110021111 is an apocalyptic number.

12201110021111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12201110021111 is a deficient number, since it is larger than the sum of its proper divisors (2252458294537).

12201110021111 is a wasteful number, since it uses less digits than its factorization.

12201110021111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425711.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 12201110021111 its reverse (11112001110221), we get a palindrome (23313111131332).

The spelling of 12201110021111 in words is "twelve trillion, two hundred one billion, one hundred ten million, twenty-one thousand, one hundred eleven".

Divisors: 1 11 17 43 187 443 473 731 4873 7531 8041 19049 82841 209539 323833 3425197 3562163 37677167 58228349 147283471 640511839 1517362271 1620118181 2503819007 16690984981 25795158607 27542009077 65246577653 283746744677 717712354183 1109191820101 12201110021111