Search a number
-
+
110000500038 = 233111319749741
BaseRepresentation
bin110011001110010001…
…0100110110101000110
3101111221010100101022000
41212130202212311012
53300240112000123
6122311124250130
710642625552202
oct1463442466506
9344833311260
10110000500038
1142718461870
121939ab40946
13a4b06436a0
1454772b3b02
152cdc195b43
hex199c8a6d46

110000500038 has 128 divisors (see below), whose sum is σ = 302295974400. Its totient is φ = 29149891200.

The previous prime is 110000500021. The next prime is 110000500063. The reversal of 110000500038 is 830005000011.

It is a happy number.

It is a super-2 number, since 2×1100005000382 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228153 + ... + 521588.

It is an arithmetic number, because the mean of its divisors is an integer number (2361687300).

Almost surely, 2110000500038 is an apocalyptic number.

110000500038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

110000500038 is an abundant number, since it is smaller than the sum of its proper divisors (192295474362).

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

110000500038 is a wasteful number, since it uses less digits than its factorization.

110000500038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749795 (or 749789 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 110000500038 its reverse (830005000011), we get a palindrome (940005500049).

The spelling of 110000500038 in words is "one hundred ten billion, five hundred thousand, thirty-eight".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 27 33 38 39 54 57 66 78 99 114 117 143 171 198 209 234 247 286 297 342 351 418 429 494 513 594 627 702 741 858 1026 1254 1287 1482 1881 2223 2574 2717 3762 3861 4446 5434 5643 6669 7722 8151 11286 13338 16302 24453 48906 73359 146718 749741 1499482 2249223 4498446 6747669 8247151 9746633 13495338 14245079 16494302 19493266 20243007 24741453 28490158 29239899 40486014 42735237 49482906 58479798 74224359 85470474 87719697 107212963 128205711 148448718 156695869 175439394 185186027 214425926 222673077 256411422 263159091 313391738 321638889 370372054 384617133 445346154 470087607 526318182 555558081 643277778 769234266 940175214 964916667 1111116162 1410262821 1666674243 1929833334 2037046297 2820525642 2894750001 3333348486 4074092594 4230788463 5000022729 5789500002 6111138891 8461576926 10000045458 12222277782 18333416673 36666833346 55000250019 110000500038