Search a number
-
+
333130120321212 = 223220123459852629
BaseRepresentation
bin100101110111110101110011…
…0011111000101100010111100
31121200111221001212020211002100
41023233223212133011202330
5322131000441300234322
63140301510425025100
7130111566635000424
oct11357534637054274
91550457055224070
10333130120321212
11971667662674a5
1231442a23325190
13113b6060155966
145c39826145484
15287a72b55adac
hex12efae67c58bc

333130120321212 has 36 divisors (see below), whose sum is σ = 842120763676920. Its totient is φ = 111037854967392.

The previous prime is 333130120321183. The next prime is 333130120321217. The reversal of 333130120321212 is 212123021031333.

333130120321212 is a `hidden beast` number, since 3 + 3 + 3 + 1 + 3 + 0 + 120 + 321 + 212 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3331301203212122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333130120321217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229201887 + ... + 230650742.

It is an arithmetic number, because the mean of its divisors is an integer number (23392243435470).

Almost surely, 2333130120321212 is an apocalyptic number.

It is an amenable number.

333130120321212 is an abundant number, since it is smaller than the sum of its proper divisors (508990643355708).

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

333130120321212 is a wasteful number, since it uses less digits than its factorization.

333130120321212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459872762 (or 459872757 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 333130120321212 its reverse (212123021031333), we get a palindrome (545253141352545).

The spelling of 333130120321212 in words is "three hundred thirty-three trillion, one hundred thirty billion, one hundred twenty million, three hundred twenty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 20123 40246 60369 80492 120738 181107 241476 362214 724428 459852629 919705258 1379557887 1839410516 2759115774 4138673661 5518231548 8277347322 16554694644 9253614453367 18507228906734 27760843360101 37014457813468 55521686720202 83282530080303 111043373440404 166565060160606 333130120321212