Search a number
-
+
11241113244201 = 334178583129221
BaseRepresentation
bin1010001110010100011010…
…0011111101001000101001
31110210122021111202120021000
42203211012203331020221
52433133244442303301
635524032433105213
72240100160015131
oct243450643751051
943718244676230
1011241113244201
113644369409a85
12131672a0b8209
13637056332859
142ac103a0dac1
15147619215786
hexa39468fd229

11241113244201 has 32 divisors (see below), whose sum is σ = 17060033168640. Its totient is φ = 7311143548800.

The previous prime is 11241113244167. The next prime is 11241113244217. The reversal of 11241113244201 is 10244231114211.

11241113244201 is a `hidden beast` number, since 1 + 1 + 2 + 411 + 1 + 3 + 2 + 44 + 201 = 666.

It is not a de Polignac number, because 11241113244201 - 231 = 11238965760553 is a prime.

It is a super-2 number, since 2×112411132442012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11241113244281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86926771 + ... + 87055991.

It is an arithmetic number, because the mean of its divisors is an integer number (533126036520).

Almost surely, 211241113244201 is an apocalyptic number.

It is an amenable number.

11241113244201 is a deficient number, since it is larger than the sum of its proper divisors (5818919924439).

11241113244201 is a wasteful number, since it uses less digits than its factorization.

11241113244201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207854 (or 207848 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 11241113244201 its reverse (10244231114211), we get a palindrome (21485344358412).

The spelling of 11241113244201 in words is "eleven trillion, two hundred forty-one billion, one hundred thirteen million, two hundred forty-four thousand, two hundred one".

Divisors: 1 3 9 27 41 123 369 1107 78583 129221 235749 387663 707247 1162989 2121741 3221903 3488967 5298061 9665709 15894183 28997127 47682549 86991381 143047647 10154573843 30463721529 91391164587 274173493761 416337527563 1249012582689 3747037748067 11241113244201