Search a number
-
+
11123113131 = 3313311022251
BaseRepresentation
bin10100101101111110…
…10011110010101011
31001201012002200201000
422112333103302223
5140240004110011
65035422530043
7542432621154
oct122677236253
931635080630
1011123113131
114798786589
1221a5136923
1310835a1560
1477739a92b
154517ac356
hex296fd3cab

11123113131 has 32 divisors (see below), whose sum is σ = 18318755840. Its totient is φ = 6624180000.

The previous prime is 11123113109. The next prime is 11123113153. The reversal of 11123113131 is 13131132111.

It is an interprime number because it is at equal distance from previous prime (11123113109) and next prime (11123113153).

It is not a de Polignac number, because 11123113131 - 29 = 11123112619 is a prime.

It is a super-2 number, since 2×111231131312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11123113831) 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, 500245 + ... + 522006.

It is an arithmetic number, because the mean of its divisors is an integer number (572461120).

Almost surely, 211123113131 is an apocalyptic number.

11123113131 is a deficient number, since it is larger than the sum of its proper divisors (7195642709).

11123113131 is a wasteful number, since it uses less digits than its factorization.

11123113131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022304 (or 1022298 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11123113131 its reverse (13131132111), we get a palindrome (24254245242).

The spelling of 11123113131 in words is "eleven billion, one hundred twenty-three million, one hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 9 13 27 31 39 93 117 279 351 403 837 1209 3627 10881 1022251 3066753 9200259 13289263 27600777 31689781 39867789 95069343 119603367 285208029 358810101 411967153 855624087 1235901459 3707704377 11123113131