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1104041111200 = 255219729323909
BaseRepresentation
bin10000000100001101111…
…110100110111010100000
310220112201112010111010221
4100010031332212322200
5121042034011024300
62203104532332424
7142523111414566
oct20041576467240
93815645114127
101104041111200
11396248474715
12159b79174114
1380159092231
143b61607da36
151daba64731a
hex1010dfa6ea0

1104041111200 has 144 divisors (see below), whose sum is σ = 2718280940760. Its totient is φ = 437856849920.

The previous prime is 1104041111177. The next prime is 1104041111249. The reversal of 1104041111200 is 21111404011.

It can be written as a sum of positive squares in 12 ways, for example, as 330436426896 + 773604684304 = 574836^2 + 879548^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 46164846 + ... + 46188754.

Almost surely, 21104041111200 is an apocalyptic number.

1104041111200 is a gapful number since it is divisible by the number (10) 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 1104041111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359140470380).

1104041111200 is an abundant number, since it is smaller than the sum of its proper divisors (1614239829560).

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

1104041111200 is a wasteful number, since it uses less digits than its factorization.

1104041111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24419 (or 24406 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 1104041111200 its reverse (21111404011), we get a palindrome (1125152515211).

The spelling of 1104041111200 in words is "one trillion, one hundred four billion, forty-one million, one hundred eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 197 200 293 394 400 586 788 800 985 1172 1465 1576 1970 2344 2930 3152 3940 4688 4925 5860 6304 7325 7880 9376 9850 11720 14650 15760 19700 23440 23909 29300 31520 39400 46880 47818 57721 58600 78800 95636 115442 117200 119545 157600 191272 230884 234400 239090 288605 382544 461768 478180 577210 597725 765088 923536 956360 1154420 1195450 1443025 1847072 1912720 2308840 2390900 2886050 3825440 4617680 4710073 4781800 5772100 7005337 9235360 9420146 9563600 11544200 14010674 18840292 19127200 23088400 23550365 28021348 35026685 37680584 46176800 47100730 56042696 70053370 75361168 94201460 112085392 117751825 140106740 150722336 175133425 188402920 224170784 235503650 280213480 350266850 376805840 471007300 560426960 700533700 753611680 942014600 1120853920 1380051389 1401067400 1884029200 2760102778 2802134800 3768058400 5520205556 5604269600 6900256945 11040411112 13800513890 22080822224 27601027780 34501284725 44161644448 55202055560 69002569450 110404111120 138005138900 220808222240 276010277800 552020555600 1104041111200