Search a number
-
+
13227400600 = 2352281373631
BaseRepresentation
bin11000101000110101…
…00001110110011000
31021010211200120102221
430110122201312120
5204042203304400
610024313033424
7645534023101
oct142432416630
937124616387
1013227400600
115678582937
1226919b5874
13132a530a7b
148d6a413a8
155263bec1a
hex3146a1d98

13227400600 has 96 divisors (see below), whose sum is σ = 30994935840. Its totient is φ = 5249664000.

The previous prime is 13227400597. The next prime is 13227400609. The reversal of 13227400600 is 600472231.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13227400609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20962285 + ... + 20962915.

It is an arithmetic number, because the mean of its divisors is an integer number (322863915).

Almost surely, 213227400600 is an apocalyptic number.

13227400600 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 13227400600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15497467920).

13227400600 is an abundant number, since it is smaller than the sum of its proper divisors (17767535240).

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

13227400600 is a wasteful number, since it uses less digits than its factorization.

13227400600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 13227400600 its reverse (600472231), we get a palindrome (13827872831).

The spelling of 13227400600 in words is "thirteen billion, two hundred twenty-seven million, four hundred thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 281 373 562 631 746 1124 1262 1405 1492 1865 2248 2524 2810 2984 3155 3730 5048 5620 6310 7025 7460 9325 11240 12620 14050 14920 15775 18650 25240 28100 31550 37300 56200 63100 74600 104813 126200 177311 209626 235363 354622 419252 470726 524065 709244 838504 886555 941452 1048130 1176815 1418488 1773110 1882904 2096260 2353630 2620325 3546220 4192520 4432775 4707260 5240650 5884075 7092440 8865550 9414520 10481300 11768150 17731100 20962600 23536300 35462200 47072600 66137003 132274006 264548012 330685015 529096024 661370030 1322740060 1653425075 2645480120 3306850150 6613700300 13227400600