Search a number
-
+
11122311102131 = 1719293138303003
BaseRepresentation
bin1010000111011001110101…
…1001101111111010110011
31110101021121222120102221002
42201312131121233322303
52424211443120232011
635353304050552215
72225363144326655
oct241663531577263
943337558512832
1011122311102131
1135a8a44728299
1212b76b359866b
13628aa236c978
142a64737da6d5
151444b44c5c3b
hexa1d9d66feb3

11122311102131 has 32 divisors (see below), whose sum is σ = 13237518182400. Its totient is φ = 9266262243840.

The previous prime is 11122311102047. The next prime is 11122311102139. The reversal of 11122311102131 is 13120111322111.

It is a cyclic number.

It is not a de Polignac number, because 11122311102131 - 218 = 11122310839987 is a prime.

It is a super-2 number, since 2×111223111021312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11122311102139) 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, 18861125 + ... + 19441878.

It is an arithmetic number, because the mean of its divisors is an integer number (413672443200).

Almost surely, 211122311102131 is an apocalyptic number.

11122311102131 is a deficient number, since it is larger than the sum of its proper divisors (2115207080269).

11122311102131 is a wasteful number, since it uses less digits than its factorization.

11122311102131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38303099.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 11122311102131 its reverse (13120111322111), we get a palindrome (24242422424242).

The spelling of 11122311102131 in words is "eleven trillion, one hundred twenty-two billion, three hundred eleven million, one hundred two thousand, one hundred thirty-one".

Divisors: 1 17 19 29 31 323 493 527 551 589 899 9367 10013 15283 17081 290377 38303003 651151051 727757057 1110787087 1187393093 12371869969 18883380479 20185682581 21104954653 22560468767 34434399697 358784229101 383527969039 585384794849 654253594243 11122311102131