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11031214416 = 2432918143783
BaseRepresentation
bin10100100011000001…
…01111100101010000
31001110210011202100220
422101200233211100
5140042442330131
65022341113040
7540235526655
oct122140574520
931423152326
1011031214416
114750918732
12217a3b8780
13106a536311
147690b7c2c
154486a7e96
hex29182f950

11031214416 has 80 divisors (see below), whose sum is σ = 29643519360. Its totient is φ = 3530580480.

The previous prime is 11031214409. The next prime is 11031214417. The reversal of 11031214416 is 61441213011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11031214417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230061 + ... + 273843.

It is an arithmetic number, because the mean of its divisors is an integer number (370543992).

Almost surely, 211031214416 is an apocalyptic number.

11031214416 is a gapful number since it is divisible by the number (16) 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 11031214416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14821759680).

11031214416 is an abundant number, since it is smaller than the sum of its proper divisors (18612304944).

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

11031214416 is a wasteful number, since it uses less digits than its factorization.

11031214416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44004 (or 43998 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11031214416 its reverse (61441213011), we get a palindrome (72472427427).

The spelling of 11031214416 in words is "eleven billion, thirty-one million, two hundred fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 181 232 348 362 464 543 696 724 1086 1392 1448 2172 2896 4344 5249 8688 10498 15747 20996 31494 41992 43783 62988 83984 87566 125976 131349 175132 251952 262698 350264 525396 700528 1050792 1269707 2101584 2539414 3809121 5078828 7618242 7924723 10157656 15236484 15849446 20315312 23774169 30472968 31698892 47548338 60945936 63397784 95096676 126795568 190193352 229816967 380386704 459633934 689450901 919267868 1378901802 1838535736 2757803604 3677071472 5515607208 11031214416