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330030232001300 = 225217194135430589
BaseRepresentation
bin100101100001010010010011…
…0101111100101101100010100
31121021112120201022111010200002
41023002210212233211230110
5321224203403343020200
63125525443500110432
7126341616545014625
oct11302444657455424
91537476638433602
10330030232001300
1196181043104616
12310220a0b35418
131121c942cb931c
145b6d796d7da4c
152824c9c7dcbd5
hex12c2926be5b14

330030232001300 has 36 divisors (see below), whose sum is σ = 758292991884540. Its totient is φ = 124246675576320.

The previous prime is 330030232001287. The next prime is 330030232001311. The reversal of 330030232001300 is 3100232030033.

It can be written as a sum of positive squares in 6 ways, for example, as 15833762055556 + 314196469945744 = 3979166^2 + 17725588^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 97067713595 + ... + 97067716994.

It is an arithmetic number, because the mean of its divisors is an integer number (21063694219015).

Almost surely, 2330030232001300 is an apocalyptic number.

It is an amenable number.

330030232001300 is an abundant number, since it is smaller than the sum of its proper divisors (428262759883240).

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

330030232001300 is a wasteful number, since it uses less digits than its factorization.

330030232001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194135430620 (or 194135430613 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 330030232001300 its reverse (3100232030033), we get a palindrome (333130464031333).

The spelling of 330030232001300 in words is "three hundred thirty trillion, thirty billion, two hundred thirty-two million, one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 194135430589 388270861178 776541722356 970677152945 1941354305890 3300302320013 3882708611780 4853385764725 6600604640026 9706771529450 13201209280052 16501511600065 19413543058900 33003023200130 66006046400260 82507558000325 165015116000650 330030232001300