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330014013101322 = 231129172421114473
BaseRepresentation
bin100101100001001010110000…
…0000001011001010100001010
31121021111000211222202122112220
41023002111200001121110022
5321223422144323220242
63125514202240514510
7126340503614442144
oct11302254001312412
91537430758678486
10330014013101322
119617517aa47a50
123101ab1531ba36
131121b259a8c2a4
145b6ca98d09c94
15282464d9a7bec
hex12c256005950a

330014013101322 has 32 divisors (see below), whose sum is σ = 744859214527680. Its totient is φ = 96555824104320.

The previous prime is 330014013101309. The next prime is 330014013101341. The reversal of 330014013101322 is 223101310410033.

It is a junction number, because it is equal to n+sod(n) for n = 330014013101292 and 330014013101301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86210555323 + ... + 86210559150.

It is an arithmetic number, because the mean of its divisors is an integer number (23276850453990).

Almost surely, 2330014013101322 is an apocalyptic number.

330014013101322 is an abundant number, since it is smaller than the sum of its proper divisors (414845201426358).

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

330014013101322 is a wasteful number, since it uses less digits than its factorization.

330014013101322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172421114518.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 330014013101322 its reverse (223101310410033), we get a palindrome (553115323511355).

The spelling of 330014013101322 in words is "three hundred thirty trillion, fourteen billion, thirteen million, one hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 957 1914 172421114473 344842228946 517263343419 1034526686838 1896632259203 3793264518406 5000212319717 5689896777609 10000424639434 11379793555218 15000636959151 30001273918302 55002335516887 110004671033774 165007006550661 330014013101322