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104221024214200 = 23529737914174717
BaseRepresentation
bin10111101100100111011001…
…001000000101110010111000
3111200000102200101001122201021
4113230213121020011302320
5102130024124144323300
61005354251052432224
730644502065030455
oct2754473110056270
9450012611048637
10104221024214200
1130231985150283
12b832896178674
134620000ba2c7a
141ba447856a82c
15c0b064830d1a
hex5ec9d9205cb8

104221024214200 has 96 divisors (see below), whose sum is σ = 245457921718800. Its totient is φ = 41149767536640.

The previous prime is 104221024214189. The next prime is 104221024214201. The reversal of 104221024214200 is 2412420122401.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104221024214201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265242 + ... + 14439958.

Almost surely, 2104221024214200 is an apocalyptic number.

104221024214200 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 104221024214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122728960859400).

104221024214200 is an abundant number, since it is smaller than the sum of its proper divisors (141236897504600).

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

104221024214200 is a wasteful number, since it uses less digits than its factorization.

104221024214200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175209 (or 14175200 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

Adding to 104221024214200 its reverse (2412420122401), we get a palindrome (106633444336601).

The spelling of 104221024214200 in words is "one hundred four trillion, two hundred twenty-one billion, twenty-four million, two hundred fourteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 97 100 194 200 379 388 485 758 776 970 1516 1895 1940 2425 3032 3790 3880 4850 7580 9475 9700 15160 18950 19400 36763 37900 73526 75800 147052 183815 294104 367630 735260 919075 1470520 1838150 3676300 7352600 14174717 28349434 56698868 70873585 113397736 141747170 283494340 354367925 566988680 708735850 1374947549 1417471700 2749895098 2834943400 5372217743 5499790196 6874737745 10744435486 10999580392 13749475490 21488870972 26861088715 27498950980 34373688725 42977741944 53722177430 54997901960 68747377450 107444354860 134305443575 137494754900 214888709720 268610887150 274989509800 521105121071 537221774300 1042210242142 1074443548600 2084420484284 2605525605355 4168840968568 5211051210710 10422102421420 13027628026775 20844204842840 26055256053550 52110512107100 104221024214200