Search a number
-
+
11441054130 = 2351179894931
BaseRepresentation
bin10101010011111000…
…01010000110110010
31002112100100202202120
422221330022012302
5141412402213010
65131141255110
7553343232642
oct125174120662
932470322676
1011441054130
1149411a4340
122273704496
13110441151c
147a76c0522
1546e661e70
hex2a9f0a1b2

11441054130 has 128 divisors (see below), whose sum is σ = 30680985600. Its totient is φ = 2707161600.

The previous prime is 11441054129. The next prime is 11441054159. The reversal of 11441054130 is 3145014411.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11441054130.

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, 2317765 + ... + 2322695.

It is an arithmetic number, because the mean of its divisors is an integer number (239695200).

Almost surely, 211441054130 is an apocalyptic number.

11441054130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11441054130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15340492800).

11441054130 is an abundant number, since it is smaller than the sum of its proper divisors (19239931470).

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

11441054130 is a wasteful number, since it uses less digits than its factorization.

11441054130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5120.

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 11441054130 its reverse (3145014411), we get a palindrome (14586068541).

The spelling of 11441054130 in words is "eleven billion, four hundred forty-one million, fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 89 110 158 165 178 237 267 330 395 445 474 534 790 869 890 979 1185 1335 1738 1958 2370 2607 2670 2937 4345 4895 4931 5214 5874 7031 8690 9790 9862 13035 14062 14685 14793 21093 24655 26070 29370 29586 35155 42186 49310 54241 70310 73965 77341 105465 108482 147930 154682 162723 210930 232023 271205 325446 386705 389549 438859 464046 542410 773410 779098 813615 877718 1160115 1168647 1316577 1627230 1947745 2194295 2320230 2337294 2633154 3895490 4285039 4388590 4827449 5843235 6582885 8570078 9654898 11686470 12855117 13165770 14482347 21425195 24137245 25710234 28964694 34669861 42850390 48274490 64275585 69339722 72411735 104009583 128551170 144823470 173349305 208019166 346698610 381368471 520047915 762736942 1040095830 1144105413 1906842355 2288210826 3813684710 5720527065 11441054130