Search a number
-
+
11130130680 = 2335831117483
BaseRepresentation
bin10100101110110100…
…00101000011111000
31001201200022012222020
422113122011003320
5140243303140210
65040233154440
7542546356404
oct122732050370
931650265866
1011130130680
1147a1739a09
1221a755ba20
131084b8a756
147782a6104
154521e6770
hex2976850f8

11130130680 has 64 divisors (see below), whose sum is σ = 33792716160. Its totient is φ = 2932272768.

The previous prime is 11130130667. The next prime is 11130130681. The reversal of 11130130680 is 8603103111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11130130680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11130130681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548782 + ... + 568701.

It is an arithmetic number, because the mean of its divisors is an integer number (528011190).

Almost surely, 211130130680 is an apocalyptic number.

11130130680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130130680 is an abundant number, since it is smaller than the sum of its proper divisors (22662585480).

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

11130130680 is a wasteful number, since it uses less digits than its factorization.

11130130680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117580 (or 1117576 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 11130130680 its reverse (8603103111), we get a palindrome (19733233791).

The spelling of 11130130680 in words is "eleven billion, one hundred thirty million, one hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 1117483 2234966 3352449 4469932 5587415 6704898 8939864 11174830 13409796 16762245 22349660 26819592 33524490 44699320 67048980 92751089 134097960 185502178 278253267 371004356 463755445 556506534 742008712 927510890 1113013068 1391266335 1855021780 2226026136 2782532670 3710043560 5565065340 11130130680