Search a number
-
+
100589847380 = 2251110319922307
BaseRepresentation
bin101110110101110011…
…1110100001101010100
3100121122021112200201222
41131223213310031110
53122002000104010
6114113233305512
710160465411111
oct1355347641524
9317567480658
10100589847380
113972938a180
12175b3405298
139640a92169
144c23523908
15293adee355
hex176b9f4354

100589847380 has 96 divisors (see below), whose sum is σ = 233859225600. Its totient is φ = 36039358080.

The previous prime is 100589847377. The next prime is 100589847401. The reversal of 100589847380 is 83748985001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4498187 + ... + 4520493.

It is an arithmetic number, because the mean of its divisors is an integer number (2436033600).

Almost surely, 2100589847380 is an apocalyptic number.

100589847380 is a gapful number since it is divisible by the number (10) 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 100589847380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116929612800).

100589847380 is an abundant number, since it is smaller than the sum of its proper divisors (133269378220).

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

100589847380 is a wasteful number, since it uses less digits than its factorization.

100589847380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22629 (or 22627 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The spelling of 100589847380 in words is "one hundred billion, five hundred eighty-nine million, eight hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 199 206 220 398 412 515 796 995 1030 1133 1990 2060 2189 2266 3980 4378 4532 5665 8756 10945 11330 20497 21890 22307 22660 40994 43780 44614 81988 89228 102485 111535 204970 223070 225467 245377 409940 446140 450934 490754 901868 981508 1127335 1226885 2254670 2297621 2453770 4439093 4509340 4595242 4907540 8878186 9190484 11488105 17756372 22195465 22976210 25273831 44390930 45952420 48830023 50547662 88781860 97660046 101095324 126369155 195320092 244150115 252738310 457226579 488300230 505476620 914453158 976600460 1828906316 2286132895 4572265790 5029492369 9144531580 10058984738 20117969476 25147461845 50294923690 100589847380