Search a number
-
+
11206127881 = 1321724792
BaseRepresentation
bin10100110111110111…
…11111000100001001
31001220222022021112101
422123323333010021
5140422232043011
65051550113401
7544461341524
oct123373770411
931828267471
1011206127881
114830626813
122208aab861
131097848c00
14784409bbb
15458c092c1
hex29beff109

11206127881 has 27 divisors (see below), whose sum is σ = 12917191701. Its totient is φ = 9715315584.

The previous prime is 11206127839. The next prime is 11206127897. The reversal of 11206127881 is 18872160211.

The square root of 11206127881 is 105859.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 101183481 + 11104944400 = 10059^2 + 105380^2 .

It is not a de Polignac number, because 11206127881 - 27 = 11206127753 is a prime.

It is a super-2 number, since 2×112061278812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11206127881.

It is not an unprimeable number, because it can be changed into a prime (11206127081) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23394600 + ... + 23395078.

Almost surely, 211206127881 is an apocalyptic number.

11206127881 is the 105859-th square number.

11206127881 is the 52930-th centered octagonal number.

It is an amenable number.

11206127881 is a deficient number, since it is larger than the sum of its proper divisors (1711063820).

11206127881 is an frugal number, since it uses more digits than its factorization.

11206127881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 37.

The spelling of 11206127881 in words is "eleven billion, two hundred six million, one hundred twenty-seven thousand, eight hundred eighty-one".

Divisors: 1 13 17 169 221 289 479 2873 3757 6227 8143 48841 80951 105859 138431 229441 1376167 1799603 2982733 3900497 23394839 38775529 50706461 66308449 659183993 862009837 11206127881