Search a number
-
+
113332002302232 = 23327232123583419
BaseRepresentation
bin11001110001001100101001…
…101111010010100100011000
3112212021102201002201110222100
4121301030221233102210120
5104323312420042132412
61041012000400523400
732604652445006100
oct3161145157224430
9485242632643870
10113332002302232
113312491781652a
1210864602320560
134b31214a9726c
141ddb4262bc200
15d1805ae08edc
hex671329bd2918

113332002302232 has 72 divisors (see below), whose sum is σ = 357053629713300. Its totient is φ = 32380572085344.

The previous prime is 113332002302221. The next prime is 113332002302249. The reversal of 113332002302232 is 232203200233311.

113332002302232 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 3 + 200 + 230 + 223 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 113332002302196 and 113332002302205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16061788182 + ... + 16061795237.

Almost surely, 2113332002302232 is an apocalyptic number.

113332002302232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113332002302232 is an abundant number, since it is smaller than the sum of its proper divisors (243721627411068).

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

113332002302232 is a wasteful number, since it uses less digits than its factorization.

113332002302232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32123583445 (or 32123583431 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 113332002302232 its reverse (232203200233311), we get a palindrome (345535202535543).

The spelling of 113332002302232 in words is "one hundred thirteen trillion, three hundred thirty-two billion, two million, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 32123583419 64247166838 96370750257 128494333676 192741500514 224865083933 256988667352 289112250771 385483001028 449730167866 578224501542 674595251799 770966002056 899460335732 1156449003084 1349190503598 1574055587531 1798920671464 2023785755397 2312898006168 2698381007196 3148111175062 4047571510794 4722166762593 5396762014392 6296222350124 8095143021588 9444333525186 12592444700248 14166500287779 16190286043176 18888667050372 28333000575558 37777334100744 56666001151116 113332002302232