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114104033102010 = 23574182915986129
BaseRepresentation
bin11001111100011011101010…
…010111000100100010111010
3112222000020110020212122011110
4121330123222113010202322
5104423440024433231020
61042402400312141150
733014513211353250
oct3174335227044272
9488006406778143
10114104033102010
11333a2281000116
121096a1619977b6
134b88c6c31ac03
142026943bd05d0
15d2d193a1a8e0
hex67c6ea5c48ba

114104033102010 has 128 divisors (see below), whose sum is σ = 320991259276800. Its totient is φ = 25414106849280.

The previous prime is 114104033101967. The next prime is 114104033102011. The reversal of 114104033102010 is 10201330401411.

114104033102010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114104033102011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 855375 + ... + 15130754.

It is an arithmetic number, because the mean of its divisors is an integer number (2507744213100).

Almost surely, 2114104033102010 is an apocalyptic number.

114104033102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114104033102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160495629638400).

114104033102010 is an abundant number, since it is smaller than the sum of its proper divisors (206887226174790).

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

114104033102010 is a wasteful number, since it uses less digits than its factorization.

114104033102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15987016.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 114104033102010 its reverse (10201330401411), we get a palindrome (124305363503421).

The spelling of 114104033102010 in words is "one hundred fourteen trillion, one hundred four billion, thirty-three million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 70 82 105 123 205 210 246 287 410 574 615 829 861 1230 1435 1658 1722 2487 2870 4145 4305 4974 5803 8290 8610 11606 12435 17409 24870 29015 33989 34818 58030 67978 87045 101967 169945 174090 203934 237923 339890 475846 509835 713769 1019670 1189615 1427538 2379230 3568845 7137690 15986129 31972258 47958387 79930645 95916774 111902903 159861290 223805806 239791935 335708709 479583870 559514515 655431289 671417418 1119029030 1310862578 1678543545 1966293867 3277156445 3357087090 3932587734 4588019023 6554312890 9176038046 9831469335 13252500941 13764057069 19662938670 22940095115 26505001882 27528114138 39757502823 45880190230 66262504705 68820285345 79515005646 92767506587 132525009410 137640570690 185535013174 198787514115 278302519761 397575028230 463837532935 543352538581 556605039522 927675065870 1086705077162 1391512598805 1630057615743 2716762692905 2783025197610 3260115231486 3803467770067 5433525385810 7606935540134 8150288078715 11410403310201 16300576157430 19017338850335 22820806620402 38034677700670 57052016551005 114104033102010