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334112124410200 = 235210915326244239
BaseRepresentation
bin100101111110111111000101…
…0011111011001100101011000
31121210222210210102012020120201
41023331332022133121211120
5322243043112322111300
63142332554020431544
7130242542624014543
oct11375761237314530
91553883712166521
10334112124410200
1197505179a43064
12315812025485b4
131145783acc3136
145c7118250785a
152896052e7566a
hex12fdf8a7d9958

334112124410200 has 48 divisors (see below), whose sum is σ = 783937392876000. Its totient is φ = 132418750216320.

The previous prime is 334112124410177. The next prime is 334112124410261. The reversal of 334112124410200 is 2014421211433.

It is a happy number.

It is a super-2 number, since 2×3341121244102002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 7663100320 + ... + 7663143919.

It is an arithmetic number, because the mean of its divisors is an integer number (16332029018250).

Almost surely, 2334112124410200 is an apocalyptic number.

It is an amenable number.

334112124410200 is an abundant number, since it is smaller than the sum of its proper divisors (449825268465800).

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

334112124410200 is a wasteful number, since it uses less digits than its factorization.

334112124410200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15326244364 (or 15326244355 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 334112124410200 its reverse (2014421211433), we get a palindrome (336126545621633).

The spelling of 334112124410200 in words is "three hundred thirty-four trillion, one hundred twelve billion, one hundred twenty-four million, four hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10900 21800 15326244239 30652488478 61304976956 76631221195 122609953912 153262442390 306524884780 383156105975 613049769560 766312211950 1532624423900 1670560622051 3065248847800 3341121244102 6682242488204 8352803110255 13364484976408 16705606220510 33411212441020 41764015551275 66822424882040 83528031102550 167056062205100 334112124410200