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334021205130300 = 2232522917123747401
BaseRepresentation
bin100101111110010100101111…
…1010001110111110000111100
31121210200010010002112021111200
41023330221133101313300330
5322240100412003132200
63142223120121015500
7130233143562622632
oct11374513721676074
91553603102467450
10334021205130300
119747a663421416
1231567669924590
131144c0ab8b6a6c
145c6a9d94b1352
1528939d105e800
hex12fca5f477c3c

334021205130300 has 216 divisors, whose sum is σ = 1083138057696240. Its totient is φ = 85995724416000.

The previous prime is 334021205130289. The next prime is 334021205130307. The reversal of 334021205130300 is 3031502120433.

334021205130300 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 21 + 205 + 130 + 300 = 666.

It is a super-2 number, since 2×3340212051303002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (334021205130307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 446536600 + ... + 447284000.

It is an arithmetic number, because the mean of its divisors is an integer number (5014528044890).

Almost surely, 2334021205130300 is an apocalyptic number.

334021205130300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334021205130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541569028848120).

334021205130300 is an abundant number, since it is smaller than the sum of its proper divisors (749116852565940).

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

334021205130300 is a wasteful number, since it uses less digits than its factorization.

334021205130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764573 (or 764563 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 334021205130300 its reverse (3031502120433), we get a palindrome (337052707250733).

The spelling of 334021205130300 in words is "three hundred thirty-four trillion, twenty-one billion, two hundred five million, one hundred thirty thousand, three hundred".