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11233214124 = 223111912833491
BaseRepresentation
bin10100111011000110…
…10011111010101100
31001222212021101212120
422131203103322230
5141001200322444
65054354432540
7545240513256
oct123543237254
931885241776
1011233214124
114844947040
122215b92750
1310a0340882
14787c5acd6
1545b2a9b19
hex29d8d3eac

11233214124 has 96 divisors (see below), whose sum is σ = 30130652160. Its totient is φ = 3221409600.

The previous prime is 11233214123. The next prime is 11233214159. The reversal of 11233214124 is 42141233211.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11233214094 and 11233214103.

It is not an unprimeable number, because it can be changed into a prime (11233214123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3216019 + ... + 3219509.

It is an arithmetic number, because the mean of its divisors is an integer number (313860960).

Almost surely, 211233214124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11233214124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15065326080).

11233214124 is an abundant number, since it is smaller than the sum of its proper divisors (18897438036).

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

11233214124 is a wasteful number, since it uses less digits than its factorization.

11233214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4809 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 11233214124 its reverse (42141233211), we get a palindrome (53374447335).

The spelling of 11233214124 in words is "eleven billion, two hundred thirty-three million, two hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 627 836 1254 1283 2508 2566 3491 3849 5132 6982 7698 10473 13964 14113 15396 20946 24377 28226 38401 41892 42339 48754 56452 66329 73131 76802 84678 97508 115203 132658 146262 153604 169356 198987 230406 265316 268147 292524 397974 460812 536294 729619 795948 804441 1072588 1459238 1608882 2188857 2918476 3217764 4377714 4478953 8755428 8957906 13436859 17915812 26873718 49268483 53747436 85100107 98536966 147805449 170200214 197073932 255300321 295610898 340400428 510600642 591221796 936101177 1021201284 1872202354 2808303531 3744404708 5616607062 11233214124