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330311110131221 = 127149151115599577
BaseRepresentation
bin100101100011010101000110…
…0011000100111111000010101
31121022112102201012020111221212
41023012222030120213320111
5321243304123143144341
63130302455033151205
7126401122142514032
oct11306521430477025
91538472635214855
10330311110131221
119627a1785268aa
123106860a55b505
131124028634a2bb
145b7d2006a2389
15282c23b38c5eb
hex12c6a8c627e15

330311110131221 has 16 divisors (see below), whose sum is σ = 337365808435200. Its totient is φ = 323355133987200.

The previous prime is 330311110131113. The next prime is 330311110131253. The reversal of 330311110131221 is 122131011113033.

It is a cyclic number.

It is not a de Polignac number, because 330311110131221 - 218 = 330311109869077 is a prime.

It is a super-2 number, since 2×3303111101312212 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330311110131521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54942416 + ... + 60657161.

It is an arithmetic number, because the mean of its divisors is an integer number (21085363027200).

Almost surely, 2330311110131221 is an apocalyptic number.

It is an amenable number.

330311110131221 is a deficient number, since it is larger than the sum of its proper divisors (7054698303979).

330311110131221 is a wasteful number, since it uses less digits than its factorization.

330311110131221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115600004.

The product of its (nonzero) digits is 324, while the sum is 23.

Adding to 330311110131221 its reverse (122131011113033), we get a palindrome (452442121244254).

The spelling of 330311110131221 in words is "three hundred thirty trillion, three hundred eleven billion, one hundred ten million, one hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 127 149 151 18923 19177 22499 2857373 115599577 14681146279 17224336973 17455536127 2187490795571 2216853088129 2600874882923 330311110131221