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330301000214332 = 227219116935211509
BaseRepresentation
bin100101100011010000011000…
…1110010010110011100111100
31121022111110121121122112012121
41023012200301302112130330
5321243122422023324312
63130254103522412324
7126400313461604500
oct11306406162263474
91538443547575177
10330301000214332
119627595a767694
12310666688010a4
131123c334956564
145b7c921aca300
15282bd48a1b707
hex12c6831c9673c

330301000214332 has 72 divisors (see below), whose sum is σ = 676318248587520. Its totient is φ = 140733229714560.

The previous prime is 330301000214323. The next prime is 330301000214357. The reversal of 330301000214332 is 233412000103033.

It is a junction number, because it is equal to n+sod(n) for n = 330301000214297 and 330301000214306.

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 23 ways as a sum of consecutive naturals, for example, 60773394 + ... + 65984902.

It is an arithmetic number, because the mean of its divisors is an integer number (9393309008160).

Almost surely, 2330301000214332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330301000214332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338159124293760).

330301000214332 is an abundant number, since it is smaller than the sum of its proper divisors (346017248373188).

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

330301000214332 is a wasteful number, since it uses less digits than its factorization.

330301000214332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5213411 (or 5213402 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 330301000214332 its reverse (233412000103033), we get a palindrome (563713000317365).

The spelling of 330301000214332 in words is "three hundred thirty trillion, three hundred one billion, two hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 191 196 382 764 1337 1693 2674 3386 5348 6772 9359 11851 18718 23702 37436 47404 82957 165914 323363 331828 646726 1293452 2263541 4527082 5211509 9054164 10423018 15844787 20846036 31689574 36480563 63379148 72961126 145922252 255363941 510727882 995398219 1021455764 1990796438 3981592876 6967787533 8823084737 13935575066 17646169474 27871150132 35292338948 48774512731 61761593159 97549025462 123523186318 195098050924 247046372636 432331152113 864662304226 1685209184767 1729324608452 3370418369534 6740836739068 11796464293369 23592928586738 47185857173476 82575250053583 165150500107166 330301000214332