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2041111200 = 253524120743
BaseRepresentation
bin111100110101000…
…1110001010100000
312021020201012012010
41321222032022200
513140011024300
6534312032520
7101403105342
oct17152161240
95236635163
102041111200
11958177067
1248b692740
13266b3c90b
1415511b292
15be2d3a50
hex79a8e2a0

2041111200 has 144 divisors (see below), whose sum is σ = 6806189376. Its totient is φ = 530995200.

The previous prime is 2041111187. The next prime is 2041111201. The reversal of 2041111200 is 21111402.

It is a happy number.

It is a super-2 number, since 2×20411112002 = 8332269861530880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2041111201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88029 + ... + 108771.

It is an arithmetic number, because the mean of its divisors is an integer number (47265204).

Almost surely, 22041111200 is an apocalyptic number.

2041111200 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 2041111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403094688).

2041111200 is an abundant number, since it is smaller than the sum of its proper divisors (4765078176).

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

2041111200 is a wasteful number, since it uses less digits than its factorization.

2041111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20807 (or 20794 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2041111200 is about 45178.6586786283. The cubic root of 2041111200 is about 1268.4953764394.

Adding to 2041111200 its reverse (21111402), we get a palindrome (2062222602).

The spelling of 2041111200 in words is "two billion, forty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 75 80 82 96 100 120 123 150 160 164 200 205 240 246 300 328 400 410 480 492 600 615 656 800 820 984 1025 1200 1230 1312 1640 1968 2050 2400 2460 3075 3280 3936 4100 4920 6150 6560 8200 9840 12300 16400 19680 20743 24600 32800 41486 49200 62229 82972 98400 103715 124458 165944 207430 248916 311145 331888 414860 497832 518575 622290 663776 829720 850463 995664 1037150 1244580 1555725 1659440 1700926 1991328 2074300 2489160 2551389 3111450 3318880 3401852 4148600 4252315 4978320 5102778 6222900 6803704 8297200 8504630 9956640 10205556 12445800 12756945 13607408 16594400 17009260 20411112 21261575 24891600 25513890 27214816 34018520 40822224 42523150 49783200 51027780 63784725 68037040 81644448 85046300 102055560 127569450 136074080 170092600 204111120 255138900 340185200 408222240 510277800 680370400 1020555600 2041111200