Search a number
-
+
330002002130320 = 245131791772679427
BaseRepresentation
bin100101100001000101001010…
…0000111001011010110010000
31121021102212211221000002211001
41023002022110013023112100
5321223223100021132240
63125504454340031344
7126336600151043032
oct11302122407132620
91537385757002731
10330002002130320
1196170077082733
1231018722992554
131121a094585c60
145b6c279a73c52
1528241992bb89a
hex12c22941cb590

330002002130320 has 80 divisors (see below), whose sum is σ = 830890301492160. Its totient is φ = 121166184125952.

The previous prime is 330002002130257. The next prime is 330002002130321. The reversal of 330002002130320 is 23031200200033.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (330002002130321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 886153554 + ... + 886525873.

It is an arithmetic number, because the mean of its divisors is an integer number (10386128768652).

Almost surely, 2330002002130320 is an apocalyptic number.

It is an amenable number.

330002002130320 is an abundant number, since it is smaller than the sum of its proper divisors (500888299361840).

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

330002002130320 is a wasteful number, since it uses less digits than its factorization.

330002002130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772679632 (or 1772679626 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 330002002130320 its reverse (23031200200033), we get a palindrome (353033202330353).

The spelling of 330002002130320 in words is "three hundred thirty trillion, two billion, two million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 179 208 260 358 520 716 895 1040 1432 1790 2327 2864 3580 4654 7160 9308 11635 14320 18616 23270 37232 46540 93080 186160 1772679427 3545358854 7090717708 8863397135 14181435416 17726794270 23044832551 28362870832 35453588540 46089665102 70907177080 92179330204 115224162755 141814354160 184358660408 230448325510 317309617433 368717320816 460896651020 634619234866 921793302040 1269238469732 1586548087165 1843586604080 2538476939464 3173096174330 4125025026629 5076953878928 6346192348660 8250050053258 12692384697320 16500100106516 20625125133145 25384769394640 33000200213032 41250250266290 66000400426064 82500500532580 165001001065160 330002002130320