Search a number
-
+
211000113300312 = 233273113504871563
BaseRepresentation
bin101111111110011101001010…
…110011010000001101011000
31000200002102011200110222200200
4233332131022303100031120
5210124011213001102222
62024432040333302200
762305153335526560
oct5776351263201530
91020072150428620
10211000113300312
116125a711218486
121b7b929b034960
1390972c100252b
143a1666224dda0
15195d8e5678eac
hexbfe74acd0358

211000113300312 has 96 divisors (see below), whose sum is σ = 674163188474880. Its totient is φ = 58341045147840.

The previous prime is 211000113300293. The next prime is 211000113300367. The reversal of 211000113300312 is 213003311000112.

211000113300312 is a `hidden beast` number, since 2 + 1 + 10 + 0 + 0 + 11 + 330 + 0 + 312 = 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 23 ways as a sum of consecutive naturals, for example, 6752420158 + ... + 6752451405.

It is an arithmetic number, because the mean of its divisors is an integer number (7022533213280).

Almost surely, 2211000113300312 is an apocalyptic number.

It is an amenable number.

211000113300312 is an abundant number, since it is smaller than the sum of its proper divisors (463163075174568).

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

211000113300312 is a wasteful number, since it uses less digits than its factorization.

211000113300312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13504871613 (or 13504871606 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 211000113300312 its reverse (213003311000112), we get a palindrome (424003424300424).

The spelling of 211000113300312 in words is "two hundred eleven trillion, one hundred thirteen million, three hundred thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 31 36 42 56 62 63 72 84 93 124 126 168 186 217 248 252 279 372 434 504 558 651 744 868 1116 1302 1736 1953 2232 2604 3906 5208 7812 15624 13504871563 27009743126 40514614689 54019486252 81029229378 94534100941 108038972504 121543844067 162058458756 189068201882 243087688134 283602302823 324116917512 378136403764 418651018453 486175376268 567204605646 756272807528 837302036906 850806908469 972350752536 1134409211292 1255953055359 1674604073812 1701613816938 2268818422584 2511906110718 2930557129171 3349208147624 3403227633876 3767859166077 5023812221436 5861114258342 6806455267752 7535718332154 8791671387513 10047624442872 11722228516684 15071436664308 17583342775026 23444457033368 26375014162539 30142873328616 35166685550052 52750028325078 70333371100104 105500056650156 211000113300312