Search a number
-
+
330030331313211 = 363114603758189
BaseRepresentation
bin100101100001010010010110…
…0101010011011110000111011
31121021112120222020100201000000
41023002210230222123300323
5321224204104304010321
63125525501404444043
7126341622162113004
oct11302445452336073
91537476866321000
10330030331313211
1196181094176081
123102210a249623
131121c95a74b879
145b6d7a62321ab
152824ca63a8826
hex12c292ca9bc3b

330030331313211 has 28 divisors (see below), whose sum is σ = 510781046453440. Its totient is φ = 212922794381040.

The previous prime is 330030331313201. The next prime is 330030331313227. The reversal of 330030331313211 is 112313133030033.

330030331313211 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 3 + 0 + 331 + 3 + 1 + 321 + 1 = 666.

It is not a de Polignac number, because 330030331313211 - 213 = 330030331305019 is a prime.

It is a super-2 number, since 2×3300303313132112 (a number of 30 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330030331313201) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7301856496 + ... + 7301901693.

It is an arithmetic number, because the mean of its divisors is an integer number (18242180230480).

Almost surely, 2330030331313211 is an apocalyptic number.

330030331313211 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

330030331313211 is a deficient number, since it is larger than the sum of its proper divisors (180750715140229).

330030331313211 is an equidigital number, since it uses as much as digits as its factorization.

330030331313211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14603758238 (or 14603758223 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 330030331313211 its reverse (112313133030033), we get a palindrome (442343464343244).

The spelling of 330030331313211 in words is "three hundred thirty trillion, thirty billion, three hundred thirty-one million, three hundred thirteen thousand, two hundred eleven".

Divisors: 1 3 9 27 31 81 93 243 279 729 837 2511 7533 22599 14603758189 43811274567 131433823701 394301471103 452716503859 1182904413309 1358149511577 3548713239927 4074448534731 10646139719781 12223345604193 36670036812579 110010110437737 330030331313211