Search a number
-
+
330013113011101 = 1336468296961013
BaseRepresentation
bin100101100001001010010101…
…0010111110100101110011101
31121021110221112021002022220001
41023002110222113310232131
5321223413323412323401
63125513533044454301
7126340442405006332
oct11302245227645635
91537427467068801
10330013113011101
1196174858963933
123101a9039aa391
131121b145463820
145b6ca11568989
1528245e995e601
hex12c252a5f4b9d

330013113011101 has 8 divisors (see below), whose sum is σ = 355398885598680. Its totient is φ = 304627361639232.

The previous prime is 330013113011077. The next prime is 330013113011117. The reversal of 330013113011101 is 101110311310033.

It can be written as a sum of positive squares in 4 ways, for example, as 3248018555076 + 326765094456025 = 1802226^2 + 18076645^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 330013113011101 - 29 = 330013113010589 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330013113012101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43928271 + ... + 50889283.

It is an arithmetic number, because the mean of its divisors is an integer number (44424860699835).

Almost surely, 2330013113011101 is an apocalyptic number.

It is an amenable number.

330013113011101 is a deficient number, since it is larger than the sum of its proper divisors (25385772587579).

330013113011101 is a wasteful number, since it uses less digits than its factorization.

330013113011101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10607855.

The product of its (nonzero) digits is 81, while the sum is 19.

Adding to 330013113011101 its reverse (101110311310033), we get a palindrome (431123424321134).

The spelling of 330013113011101 in words is "three hundred thirty trillion, thirteen billion, one hundred thirteen million, eleven thousand, one hundred one".

Divisors: 1 13 3646829 6961013 47408777 90493169 25385624077777 330013113011101