Search a number
-
+
3302102002131 = 331743451737039
BaseRepresentation
bin110000000011010100100…
…111011110100111010011
3102200200022011111002001000
4300003110213132213103
5413100201103032011
611004544213513043
7460366110622512
oct60032447364723
912620264432030
103302102002131
111063460549319
12453b77342783
131ac504c9aa4a
14b5b73286679
155ad66713356
hex300d49de9d3

3302102002131 has 64 divisors (see below), whose sum is σ = 5301544089600. Its totient is φ = 2023220602368.

The previous prime is 3302102002099. The next prime is 3302102002139. The reversal of 3302102002131 is 1312002012033.

3302102002131 is a `hidden beast` number, since 330 + 2 + 1 + 0 + 200 + 2 + 131 = 666.

3302102002131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3302102002131 - 25 = 3302102002099 is a prime.

It is a super-2 number, since 2×33021020021312 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3302102002139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89133510 + ... + 89170548.

It is an arithmetic number, because the mean of its divisors is an integer number (82836626400).

Almost surely, 23302102002131 is an apocalyptic number.

3302102002131 is a deficient number, since it is larger than the sum of its proper divisors (1999442087469).

3302102002131 is a wasteful number, since it uses less digits than its factorization.

3302102002131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41625 (or 41619 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 3302102002131 its reverse (1312002012033), we get a palindrome (4614104014164).

The spelling of 3302102002131 in words is "three trillion, three hundred two billion, one hundred two million, two thousand, one hundred thirty-one".

Divisors: 1 3 9 17 27 43 51 129 153 387 459 731 1161 2193 4517 6579 13551 19737 37039 40653 76789 111117 121959 194231 230367 333351 582693 629663 691101 1000053 1592677 1748079 1888989 2073303 3301927 4778031 5244237 5666967 9905781 14334093 17000901 27075509 29717343 43002279 81226527 89152029 167305163 243679581 501915489 731038743 1505746467 2844187771 4517239401 7194122009 8532563313 21582366027 25597689939 64747098081 76793069817 122300074153 194241294243 366900222459 1100700667377 3302102002131