Search a number
-
+
110111032304 = 24713312778807
BaseRepresentation
bin110011010001100100…
…0010000001111110000
3101112012211100000001122
41212203020100033300
53301001411013204
6122330113321412
710645440221540
oct1464310201760
9345184300048
10110111032304
1142774897349
121940bb66268
13a4ca5040b0
145487c47320
152ce6c2b0be
hex19a32103f0

110111032304 has 160 divisors (see below), whose sum is σ = 272051920896. Its totient is φ = 41998279680.

The previous prime is 110111032279. The next prime is 110111032307. The reversal of 110111032304 is 403230111011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110111032307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12498269 + ... + 12507075.

Almost surely, 2110111032304 is an apocalyptic number.

110111032304 is a gapful number since it is divisible by the number (14) 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 110111032304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136025960448).

110111032304 is an abundant number, since it is smaller than the sum of its proper divisors (161940888592).

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

110111032304 is a wasteful number, since it uses less digits than its factorization.

110111032304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9137 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 110111032304 its reverse (403230111011), we get a palindrome (513341143315).

The spelling of 110111032304 in words is "one hundred ten billion, one hundred eleven million, thirty-two thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 31 52 56 62 91 104 112 124 182 208 217 248 277 364 403 434 496 554 728 806 868 1108 1456 1612 1736 1939 2216 2821 3224 3472 3601 3878 4432 5642 6448 7202 7756 8587 8807 11284 14404 15512 17174 17614 22568 25207 28808 31024 34348 35228 45136 50414 57616 60109 61649 68696 70456 100828 111631 114491 120218 123298 137392 140912 201656 223262 228982 240436 246596 273017 403312 446524 457964 480872 493192 546034 781417 801437 893048 915928 961744 986384 1092068 1562834 1602874 1786096 1831856 1911119 2184136 2439539 3125668 3205748 3549221 3822238 4368272 4879078 6251336 6411496 7098442 7644476 9758156 12502672 12822992 14196884 15288952 17076773 19516312 24844547 28393768 30577904 31714007 34153546 39032624 49689094 56787536 63428014 68307092 75625709 99378188 126856028 136614184 151251418 198756376 221998049 253712056 273228368 302502836 397512752 443996098 507424112 529379963 605005672 887992196 983134217 1058759926 1210011344 1775984392 1966268434 2117519852 3551968784 3932536868 4235039704 6881939519 7865073736 8470079408 13763879038 15730147472 27527758076 55055516152 110111032304