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330442312411113 = 37412631459273691
BaseRepresentation
bin100101100100010010001100…
…0101001100110011111101001
31121022222222100220110220112120
41023020210120221212133221
5321302431323434123423
63130443034101301453
7126413445355503420
oct11310443051463751
91538888326426476
10330442312411113
119631a885819681
1231089b25a04889
131124c765333c46
145b856c96d22b7
152830869a3bee3
hex12c8918a667e9

330442312411113 has 32 divisors (see below), whose sum is σ = 517773654300672. Its totient is φ = 183518259254400.

The previous prime is 330442312411093. The next prime is 330442312411139. The reversal of 330442312411113 is 311114213244033.

It is a happy number.

It is not a de Polignac number, because 330442312411113 - 29 = 330442312410601 is a prime.

It is a super-3 number, since 3×3304423124111133 (a number of 45 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (330442312411513) 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 31 ways as a sum of consecutive naturals, for example, 729410403 + ... + 729863288.

It is an arithmetic number, because the mean of its divisors is an integer number (16180426696896).

Almost surely, 2330442312411113 is an apocalyptic number.

It is an amenable number.

330442312411113 is a deficient number, since it is larger than the sum of its proper divisors (187331341889559).

330442312411113 is a wasteful number, since it uses less digits than its factorization.

330442312411113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459274005.

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 330442312411113 its reverse (311114213244033), we get a palindrome (641556525655146).

The spelling of 330442312411113 in words is "three hundred thirty trillion, four hundred forty-two billion, three hundred twelve million, four hundred eleven thousand, one hundred thirteen".

Divisors: 1 3 7 21 41 123 263 287 789 861 1841 5523 10783 32349 75481 226443 1459273691 4377821073 10214915837 30644747511 59830221331 179490663993 383788980733 418811549317 1151366942199 1256434647951 2686522865131 8059568595393 15735348210053 47206044630159 110147437470371 330442312411113