Search a number
-
+
112231100288 = 2723116332779
BaseRepresentation
bin110100010000101111…
…1101010111110000000
3101201200120121121121002
41220201133222332000
53314322130202123
6123320325551132
711052122420006
oct1504137527600
9351616547532
10112231100288
114366259184a
1219901b754a8
13a7777ca2a8
145609638a76
152dbce09528
hex1a217eaf80

112231100288 has 64 divisors (see below), whose sum is σ = 233514230400. Its totient is φ = 53627954688.

The previous prime is 112231100287. The next prime is 112231100321. The reversal of 112231100288 is 882001132211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1122311002882 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112231100288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112231100287) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3407483 + ... + 3440261.

It is an arithmetic number, because the mean of its divisors is an integer number (3648659850).

Almost surely, 2112231100288 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 112231100288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116757115200).

112231100288 is an abundant number, since it is smaller than the sum of its proper divisors (121283130112).

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

112231100288 is a wasteful number, since it uses less digits than its factorization.

112231100288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33979 (or 33967 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 29.

Adding to 112231100288 its reverse (882001132211), we get a palindrome (994232232499).

The spelling of 112231100288 in words is "one hundred twelve billion, two hundred thirty-one million, one hundred thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 368 736 1163 1472 2326 2944 4652 9304 18608 26749 32779 37216 53498 65558 74432 106996 131116 148864 213992 262232 427984 524464 753917 855968 1048928 1507834 1711936 2097856 3015668 3423872 4195712 6031336 12062672 24125344 38121977 48250688 76243954 96501376 152487908 304975816 609951632 876805471 1219903264 1753610942 2439806528 3507221884 4879613056 7014443768 14028887536 28057775072 56115550144 112231100288