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104042224433301 = 371131109181736429
BaseRepresentation
bin10111101010000000110111…
…110101000011100010010101
3111122101100011111201200112220
4113222000313311003202111
5102114111433423331201
61005140201004532553
730625542212000430
oct2752006765034225
9448340144650486
10104042224433301
1130173072354510
12b8040b6551159
1346091a7acb84b
141b99955d1a817
15c0659c6a8036
hex5ea037d43895

104042224433301 has 128 divisors (see below), whose sum is σ = 181166021836800. Its totient is φ = 51538177152000.

The previous prime is 104042224433281. The next prime is 104042224433327. The reversal of 104042224433301 is 103334422240401.

It is not a de Polignac number, because 104042224433301 - 25 = 104042224433269 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104042224433341) 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 127 ways as a sum of consecutive naturals, for example, 140911155 + ... + 141647583.

It is an arithmetic number, because the mean of its divisors is an integer number (1415359545600).

Almost surely, 2104042224433301 is an apocalyptic number.

104042224433301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104042224433301 is a deficient number, since it is larger than the sum of its proper divisors (77123797403499).

104042224433301 is a wasteful number, since it uses less digits than its factorization.

104042224433301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736771.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 104042224433301 its reverse (103334422240401), we get a palindrome (207376646673702).

The spelling of 104042224433301 in words is "one hundred four trillion, forty-two billion, two hundred twenty-four million, four hundred thirty-three thousand, three hundred one".

Divisors: 1 3 7 11 21 31 33 77 93 109 181 217 231 327 341 543 651 763 1023 1199 1267 1991 2289 2387 3379 3597 3801 5611 5973 7161 8393 10137 13937 16833 19729 23653 25179 37169 39277 41811 59187 61721 70959 111507 117831 138103 185163 217019 260183 414309 432047 611599 651057 736429 780549 1296141 1519133 1834797 2209287 4281193 4557399 5155003 6727589 8100719 12843579 15465009 20182767 22829299 24302157 47093123 56705033 68487897 80270761 133293649 141279369 159805093 170115099 240812283 251122289 399880947 479415279 561895327 753366867 882978371 933055543 1466230139 1685685981 1757856023 2488393591 2648935113 2799166629 4132103119 4398690417 5273568069 6180848597 7465180773 10263610973 12396309357 14529007741 17418755137 18542545791 27372329501 28924721833 30790832919 43587023223 45453134309 52256265411 82116988503 86774165499 101703054187 136359402927 159819085151 191606306507 305109162561 318171940163 450399239971 479457255453 574818919521 954515820489 1118733596057 1351197719913 3152794679797 3356200788171 4954391639681 9458384039391 14863174919043 34680741477767 104042224433301