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11131312324 = 22112914935843
BaseRepresentation
bin10100101110111101…
…00101100011000100
31001201202112020212211
422113132211203010
5140244103443244
65040314353204
7542562410416
oct122736454304
931652466784
1011131312324
1147a2376780
1221a7a2b804
1310851b2552
147784d29b6
1545237b934
hex2977a58c4

11131312324 has 48 divisors (see below), whose sum is σ = 22001958720. Its totient is φ = 4881107840.

The previous prime is 11131312271. The next prime is 11131312331. The reversal of 11131312324 is 42321313111.

11131312324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111313123242 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11131312295 and 11131312304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1902147 + ... + 1907989.

It is an arithmetic number, because the mean of its divisors is an integer number (458374140).

Almost surely, 211131312324 is an apocalyptic number.

It is an amenable number.

11131312324 is a deficient number, since it is larger than the sum of its proper divisors (10870646396).

11131312324 is a wasteful number, since it uses less digits than its factorization.

11131312324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7380 (or 7378 counting only the distinct ones).

The product of its digits is 432, while the sum is 22.

Adding to 11131312324 its reverse (42321313111), we get a palindrome (53452625435).

The spelling of 11131312324 in words is "eleven billion, one hundred thirty-one million, three hundred twelve thousand, three hundred twenty-four".

Divisors: 1 2 4 11 22 29 44 58 116 319 638 1276 1493 2986 5843 5972 11686 16423 23372 32846 43297 64273 65692 86594 128546 169447 173188 257092 338894 476267 677788 952534 1863917 1905068 3727834 7455668 8723599 17447198 34894396 95959589 191919178 252984371 383838356 505968742 1011937484 2782828081 5565656162 11131312324