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1104104142200 = 235279109641101
BaseRepresentation
bin10000000100010001101…
…111000011010101111000
310220112212220201210102102
4100010101233003111320
5121042201130022300
62203115103322532
7142524505234463
oct20042157032570
93815786653372
101104104142200
11396280005854
12159b962b0448
1380169160997
143b6205aa2da
151dac0e480d5
hex10111bc3578

1104104142200 has 96 divisors (see below), whose sum is σ = 2623389384000. Its totient is φ = 432050112000.

The previous prime is 1104104142199. The next prime is 1104104142209. The reversal of 1104104142200 is 22414014011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1104104142209) by changing a digit.

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, 1401650 + ... + 2042750.

It is an arithmetic number, because the mean of its divisors is an integer number (27326972750).

Almost surely, 21104104142200 is an apocalyptic number.

1104104142200 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 1104104142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311694692000).

1104104142200 is an abundant number, since it is smaller than the sum of its proper divisors (1519285241800).

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

1104104142200 is a wasteful number, since it uses less digits than its factorization.

1104104142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641305 (or 641296 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 1104104142200 its reverse (22414014011), we get a palindrome (1126518156211).

The spelling of 1104104142200 in words is "one trillion, one hundred four billion, one hundred four million, one hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 79 100 109 158 200 218 316 395 436 545 632 790 872 1090 1580 1975 2180 2725 3160 3950 4360 5450 7900 8611 10900 15800 17222 21800 34444 43055 68888 86110 172220 215275 344440 430550 641101 861100 1282202 1722200 2564404 3205505 5128808 6411010 12822020 16027525 25644040 32055050 50646979 64110100 69880009 101293958 128220200 139760018 202587916 253234895 279520036 349400045 405175832 506469790 559040072 698800090 1012939580 1266174475 1397600180 1747000225 2025879160 2532348950 2795200360 3494000450 5064697900 5520520711 6988000900 10129395800 11041041422 13976001800 22082082844 27602603555 44164165688 55205207110 110410414220 138013017775 220820828440 276026035550 552052071100 1104104142200