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201044011300 = 225211673271571
BaseRepresentation
bin1011101100111100101…
…0000010100100100100
3201012221002202221202121
42323033022002210210
511243214231330200
6232205222515324
720345025620506
oct2731712024444
9635832687677
10201044011300
1178298115360
1232b69295b44
1315c5c6c8942
149a32a07d76
155369e4ae1a
hex2ecf282924

201044011300 has 72 divisors (see below), whose sum is σ = 476634930912. Its totient is φ = 72998016000.

The previous prime is 201044011261. The next prime is 201044011319. The reversal of 201044011300 is 3110440102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604515 + ... + 876085.

It is an arithmetic number, because the mean of its divisors is an integer number (6619929596).

Almost surely, 2201044011300 is an apocalyptic number.

201044011300 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 201044011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238317465456).

201044011300 is an abundant number, since it is smaller than the sum of its proper divisors (275590919612).

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

201044011300 is a wasteful number, since it uses less digits than its factorization.

201044011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272269 (or 272262 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 201044011300 its reverse (3110440102), we get a palindrome (204154451402).

The spelling of 201044011300 in words is "two hundred one billion, forty-four million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 673 1100 1346 2692 3365 6730 7403 13460 14806 16825 29612 33650 37015 67300 74030 148060 185075 271571 370150 543142 740300 1086284 1357855 2715710 2987281 5431420 5974562 6789275 11949124 13578550 14936405 27157100 29872810 59745620 74682025 149364050 182767283 298728100 365534566 731069132 913836415 1827672830 2010440113 3655345660 4020880226 4569182075 8041760452 9138364150 10052200565 18276728300 20104401130 40208802260 50261002825 100522005650 201044011300