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2044111300 = 2252711713739
BaseRepresentation
bin111100111010110…
…1010100111000100
312021110100121112221
41321311222213010
513141243030200
6534500222124
7101440442110
oct17165524704
95243317487
102044111300
11959936090
1249069a944
1326765031a
1415569c740
15be6c791a
hex79d6a9c4

2044111300 has 144 divisors (see below), whose sum is σ = 5609640960. Its totient is φ = 627984000.

The previous prime is 2044111259. The next prime is 2044111319. The reversal of 2044111300 is 31114402.

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 47 ways as a sum of consecutive naturals, for example, 544831 + ... + 548569.

It is an arithmetic number, because the mean of its divisors is an integer number (38955840).

Almost surely, 22044111300 is an apocalyptic number.

2044111300 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 2044111300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804820480).

2044111300 is an abundant number, since it is smaller than the sum of its proper divisors (3565529660).

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

2044111300 is a wasteful number, since it uses less digits than its factorization.

2044111300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3835 counting only the distinct ones).

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

The square root of 2044111300 is about 45211.8491106037. The cubic root of 2044111300 is about 1269.1165658446.

Adding to 2044111300 its reverse (31114402), we get a palindrome (2075225702).

The spelling of 2044111300 in words is "two billion, forty-four million, one hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 71 77 100 110 140 142 154 175 220 275 284 308 350 355 385 497 550 700 710 770 781 994 1100 1420 1540 1562 1775 1925 1988 2485 3124 3550 3739 3850 3905 4970 5467 7100 7478 7700 7810 9940 10934 12425 14956 15620 18695 19525 21868 24850 26173 27335 37390 39050 41129 49700 52346 54670 74780 78100 82258 93475 104692 109340 130865 136675 164516 186950 205645 261730 265469 273350 287903 373900 411290 523460 530938 546700 575806 654325 822580 1028225 1061876 1151612 1308650 1327345 1439515 1858283 2056450 2617300 2654690 2879030 2920159 3716566 4112900 5309380 5758060 5840318 6636725 7197575 7433132 9291415 11680636 13273450 14395150 14600795 18582830 20441113 26546900 28790300 29201590 37165660 40882226 46457075 58403180 73003975 81764452 92914150 102205565 146007950 185828300 204411130 292015900 408822260 511027825 1022055650 2044111300