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204114314302300 = 225215715413843503
BaseRepresentation
bin101110011010010000010001…
…001100101001001101011100
3222202201010201111212000000201
4232122100101030221031130
5203223202103430133200
62002040453235433244
760664525663003123
oct5632202114511534
9882633644760021
10204114314302300
115a0454381a1216
121aa8687aa55824
1389b7b883408bc
143859285114aba
15188e735c9dc6a
hexb9a41132935c

204114314302300 has 72 divisors (see below), whose sum is σ = 445778708711616. Its totient is φ = 81120329621760.

The previous prime is 204114314302259. The next prime is 204114314302319. The reversal of 204114314302300 is 3203413411402.

It is a happy number.

It is a super-2 number, since 2×2041143143023002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241562349 + ... + 242405851.

It is an arithmetic number, because the mean of its divisors is an integer number (6191370954328).

Almost surely, 2204114314302300 is an apocalyptic number.

204114314302300 is a gapful number since it is divisible by the number (20) 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 204114314302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222889354355808).

204114314302300 is an abundant number, since it is smaller than the sum of its proper divisors (241664394409316).

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

204114314302300 is a wasteful number, since it uses less digits than its factorization.

204114314302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859087 (or 859080 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 204114314302300 its reverse (3203413411402), we get a palindrome (207317727713702).

The spelling of 204114314302300 in words is "two hundred four trillion, one hundred fourteen billion, three hundred fourteen million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 157 314 628 785 1570 3140 3925 7850 15413 15700 30826 61652 77065 154130 308260 385325 770650 843503 1541300 1687006 2419841 3374012 4217515 4839682 8435030 9679364 12099205 16870060 21087575 24198410 42175150 48396820 60496025 84350300 120992050 132429971 241984100 264859942 529719884 662149855 1324299710 2648599420 3310749275 6621498550 13000911739 13242997100 26001823478 52003646956 65004558695 130009117390 260018234780 325022793475 650045586950 1300091173900 2041143143023 4082286286046 8164572572092 10205715715115 20411431430230 40822862860460 51028578575575 102057157151150 204114314302300