Search a number
-
+
100012201212 = 223711304135593
BaseRepresentation
bin101110100100100110…
…0010001010011111100
3100120011000121020011110
41131021030101103330
53114311110414322
6113540040322020
710140252453360
oct1351114212374
9316130536143
10100012201212
113946230a050
1217471a73310
13957b1c21b1
144baa9192a0
152905349c0c
hex17493114fc

100012201212 has 96 divisors (see below), whose sum is σ = 291048436224. Its totient is φ = 25967923200.

The previous prime is 100012201193. The next prime is 100012201213. The reversal of 100012201212 is 212102210001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012201213) 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, 2792088 + ... + 2827680.

It is an arithmetic number, because the mean of its divisors is an integer number (3031754544).

Almost surely, 2100012201212 is an apocalyptic number.

100012201212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100012201212 is an abundant number, since it is smaller than the sum of its proper divisors (191036235012).

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

100012201212 is a wasteful number, since it uses less digits than its factorization.

100012201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38659 (or 38657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100012201212 its reverse (212102210001), we get a palindrome (312114411213).

The spelling of 100012201212 in words is "one hundred billion, twelve million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 3041 6082 9123 12164 18246 21287 33451 35593 36492 42574 63861 66902 71186 85148 100353 106779 127722 133804 142372 200706 213558 234157 249151 255444 391523 401412 427116 468314 498302 702471 747453 783046 936628 996604 1174569 1404942 1494906 1566092 2349138 2740661 2809884 2989812 4698276 5481322 8221983 10962644 16443966 32887932 108238313 216476626 324714939 432953252 649429878 757668191 1190621443 1298859756 1515336382 2273004573 2381242886 3030672764 3571864329 4546009146 4762485772 7143728658 8334350101 9092018292 14287457316 16668700202 25003050303 33337400404 50006100606 100012201212