Search a number
-
+
11130002142300 = 22325238931790923
BaseRepresentation
bin1010000111110110011111…
…0100101111010001011100
31110102000110222121202121200
42201331213310233101130
52424323221022023200
635401015152355500
72226054554152416
oct241754764572134
943360428552550
1011130002142300
113601231061638
1212b909b245b90
13629729898a02
142a69a303b9b6
151447b47e2800
hexa1f67d2f45c

11130002142300 has 108 divisors (see below), whose sum is σ = 34976056675560. Its totient is φ = 2960370656640.

The previous prime is 11130002142197. The next prime is 11130002142349. The reversal of 11130002142300 is 324120003111.

11130002142300 is a `hidden beast` number, since 1 + 1 + 1 + 300 + 0 + 21 + 42 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15545362 + ... + 16245561.

Almost surely, 211130002142300 is an apocalyptic number.

11130002142300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11130002142300 is an abundant number, since it is smaller than the sum of its proper divisors (23846054533260).

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

11130002142300 is a wasteful number, since it uses less digits than its factorization.

11130002142300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31791332 (or 31791322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11130002142300 its reverse (324120003111), we get a palindrome (11454122145411).

The spelling of 11130002142300 in words is "eleven trillion, one hundred thirty billion, two million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 389 450 778 900 1167 1556 1945 2334 3501 3890 4668 5835 7002 7780 9725 11670 14004 17505 19450 23340 29175 35010 38900 58350 70020 87525 116700 175050 350100 31790923 63581846 95372769 127163692 158954615 190745538 286118307 317909230 381491076 476863845 572236614 635818460 794773075 953727690 1144473228 1430591535 1589546150 1907455380 2384319225 2861183070 3179092300 4768638450 5722366140 7152957675 9537276900 12366669047 14305915350 24733338094 28611830700 37100007141 49466676188 61833345235 74200014282 111300021423 123666690470 148400028564 185500035705 222600042846 247333380940 309166726175 371000071410 445200085692 556500107115 618333452350 742000142820 927500178525 1113000214230 1236666904700 1855000357050 2226000428460 2782500535575 3710000714100 5565001071150 11130002142300