Search a number
-
+
11130334224204 = 22313418641201389
BaseRepresentation
bin1010000111110111101110…
…0111100001111101001100
31110102001100010111021100110
42201331323213201331030
52424324411030133304
635401112134200020
72226066025621266
oct241757347417514
943361303437313
1011130334224204
113601391558698
1212b91724b3010
1362978061a290
142a69d51a2b36
151447d3a3c289
hexa1f7b9e1f4c

11130334224204 has 96 divisors (see below), whose sum is σ = 28654149424320. Its totient is φ = 3340785254400.

The previous prime is 11130334224203. The next prime is 11130334224223. The reversal of 11130334224204 is 40242243303111.

It is not an unprimeable number, because it can be changed into a prime (11130334224203) 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, 55167142 + ... + 55368530.

It is an arithmetic number, because the mean of its divisors is an integer number (298480723170).

Almost surely, 211130334224204 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11130334224204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14327074712160).

11130334224204 is an abundant number, since it is smaller than the sum of its proper divisors (17523815200116).

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

11130334224204 is a wasteful number, since it uses less digits than its factorization.

11130334224204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210091 (or 210089 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11130334224204 its reverse (40242243303111), we get a palindrome (51372577527315).

The spelling of 11130334224204 in words is "eleven trillion, one hundred thirty billion, three hundred thirty-four million, two hundred twenty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 492 533 1066 1599 2132 3198 6396 8641 17282 25923 34564 51846 103692 112333 201389 224666 336999 354281 402778 449332 604167 673998 708562 805556 1062843 1208334 1347996 1417124 2125686 2416668 2618057 4251372 4605653 5236114 7854171 8256949 9211306 10472228 13816959 15708342 16513898 18422612 24770847 27633918 31416684 33027796 49541694 55267836 99083388 107340337 214680674 322021011 429361348 644042022 1288084044 1740202349 3480404698 5220607047 6960809396 10441214094 20882428188 22622630537 45245261074 67867891611 71348296309 90490522148 135735783222 142696592618 214044888927 271471566444 285393185236 428089777854 856179555708 927527852017 1855055704034 2782583556051 3710111408068 5565167112102 11130334224204