Search a number
-
+
1011131112 = 23379533297
BaseRepresentation
bin111100010001001…
…010001011101000
32121110121210010110
4330101022023220
54032322143422
6244200014320
734025321055
oct7421121350
92543553113
101011131112
11479836852
122427613a0
13131636844
149840802c
155db7e60c
hex3c44a2e8

1011131112 has 32 divisors (see below), whose sum is σ = 2559830400. Its totient is φ = 332776704.

The previous prime is 1011131087. The next prime is 1011131137. The reversal of 1011131112 is 2111311101.

It is an interprime number because it is at equal distance from previous prime (1011131087) and next prime (1011131137).

It is a super-2 number, since 2×10111311122 = 2044772251308713088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264753 + ... + 268544.

It is an arithmetic number, because the mean of its divisors is an integer number (79994700).

Almost surely, 21011131112 is an apocalyptic number.

1011131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011131112 is an abundant number, since it is smaller than the sum of its proper divisors (1548699288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011131112 is a wasteful number, since it uses less digits than its factorization.

1011131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533385 (or 533381 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 1011131112 is about 31798.2878784377. The cubic root of 1011131112 is about 1003.6966883231.

Adding to 1011131112 its reverse (2111311101), we get a palindrome (3122442213).

The spelling of 1011131112 in words is "one billion, eleven million, one hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1896 533297 1066594 1599891 2133188 3199782 4266376 6399564 12799128 42130463 84260926 126391389 168521852 252782778 337043704 505565556 1011131112