Search a number
-
+
11206436013 = 3237436711681
BaseRepresentation
bin10100110111111010…
…01010010010101101
31001220222212221012200
422123331022102231
5140422321423023
65052000452113
7544464064053
oct123375122255
931828787180
1011206436013
114830817273
12220901a039
131097926236
1478448a1d3
15458c6a743
hex29bf4a4ad

11206436013 has 48 divisors (see below), whose sum is σ = 17266556736. Its totient is φ = 6993423360.

The previous prime is 11206436009. The next prime is 11206436053. The reversal of 11206436013 is 31063460211.

11206436013 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 643 + 6 + 0 + 13 = 666.

It is not a de Polignac number, because 11206436013 - 22 = 11206436009 is a prime.

It is a super-2 number, since 2×112064360132 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11206436053) 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, 953533 + ... + 965213.

It is an arithmetic number, because the mean of its divisors is an integer number (359719932).

Almost surely, 211206436013 is an apocalyptic number.

It is an amenable number.

11206436013 is a deficient number, since it is larger than the sum of its proper divisors (6060120723).

11206436013 is a wasteful number, since it uses less digits than its factorization.

11206436013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11834 (or 11831 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 11206436013 its reverse (31063460211), we get a palindrome (42269896224).

The spelling of 11206436013 in words is "eleven billion, two hundred six million, four hundred thirty-six thousand, thirteen".

Divisors: 1 3 9 37 43 67 111 129 201 333 387 603 1591 2479 2881 4773 7437 8643 11681 14319 22311 25929 35043 105129 106597 319791 432197 502283 782627 959373 1296591 1506849 2347881 3889773 4520547 7043643 18584471 28957199 33652961 55753413 86871597 100958883 167260239 260614791 302876649 1245159557 3735478671 11206436013