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11234114052 = 22371014872719
BaseRepresentation
bin10100111011001101…
…01111101000000100
31001222220222010100020
422131212233220010
5141001413122202
65054430015140
7545251252050
oct123546575004
931886863306
1011234114052
114845401187
1222163474b0
1310a0597385
14788012c60
1545b3d65bc
hex29d9afa04

11234114052 has 96 divisors (see below), whose sum is σ = 30327521280. Its totient is φ = 3170275200.

The previous prime is 11234114051. The next prime is 11234114077. The reversal of 11234114052 is 25041143211.

11234114052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11234114051) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4130349 + ... + 4133067.

It is an arithmetic number, because the mean of its divisors is an integer number (315911680).

Almost surely, 211234114052 is an apocalyptic number.

11234114052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11234114052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15163760640).

11234114052 is an abundant number, since it is smaller than the sum of its proper divisors (19093407228).

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

11234114052 is a wasteful number, since it uses less digits than its factorization.

11234114052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3321 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11234114052 its reverse (25041143211), we get a palindrome (36275257263).

The spelling of 11234114052 in words is "eleven billion, two hundred thirty-four million, one hundred fourteen thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 487 606 707 974 1212 1414 1461 1948 2121 2719 2828 2922 3409 4242 5438 5844 6818 8157 8484 10227 10876 13636 16314 19033 20454 32628 38066 40908 49187 57099 76132 98374 114198 147561 196748 228396 274619 295122 344309 549238 590244 688618 823857 1032927 1098476 1324153 1377236 1647714 1922333 2065854 2648306 3295428 3844666 3972459 4131708 5296612 5766999 7689332 7944918 9269071 11533998 15889836 18538142 23067996 27807213 37076284 55614426 111228852 133739453 267478906 401218359 534957812 802436718 936176171 1604873436 1872352342 2808528513 3744704684 5617057026 11234114052