Search a number
-
+
331002222331113 = 37374090537727
BaseRepresentation
bin100101101000010110111010…
…1111000011100010011101001
31121101222111120222202220000000
41023100231311320130103221
5321341120022404043423
63131552153254133213
7126502056431342634
oct11320556570342351
91541874528686000
10331002222331113
1196516288328753
123115a546651209
13112904b635c708
145ba484343ac1b
1528401da02c843
hex12d0b75e1c4e9

331002222331113 has 32 divisors (see below), whose sum is σ = 509844622417920. Its totient is φ = 214704144162288.

The previous prime is 331002222331111. The next prime is 331002222331129. The reversal of 331002222331113 is 311133222200133.

331002222331113 is a `hidden beast` number, since 3 + 3 + 100 + 2 + 222 + 331 + 1 + 1 + 3 = 666.

It is not a de Polignac number, because 331002222331113 - 21 = 331002222331111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (331002222331111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2045187945 + ... + 2045349782.

It is an arithmetic number, because the mean of its divisors is an integer number (15932644450560).

Almost surely, 2331002222331113 is an apocalyptic number.

It is an amenable number.

331002222331113 is a deficient number, since it is larger than the sum of its proper divisors (178842400086807).

331002222331113 is an frugal number, since it uses more digits than its factorization.

331002222331113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4090537785 (or 4090537767 counting only the distinct ones).

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

Adding to 331002222331113 its reverse (311133222200133), we get a palindrome (642135444531246).

The spelling of 331002222331113 in words is "three hundred thirty-one trillion, two billion, two hundred twenty-two million, three hundred thirty-one thousand, one hundred thirteen".

Divisors: 1 3 9 27 37 81 111 243 333 729 999 2187 2997 8991 26973 80919 4090537727 12271613181 36814839543 110444518629 151349895899 331333555887 454049687697 994000667661 1362149063091 2982002002983 4086447189273 8946006008949 12259341567819 36778024703457 110334074110371 331002222331113