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101010414344010 = 23531241145049087
BaseRepresentation
bin10110111101111001010001…
…110111011001011101001010
3111020122111112110011110000120
4112331321101313121131022
5101214423312033002020
6554455313240444110
730163522142306253
oct2675712167313512
9436574473143016
10101010414344010
112a204304619946
12b3b45b3479636
134449319bc3402
141ad2d04437b2a
15ba27a548c740
hex5bde51dd974a

101010414344010 has 64 divisors (see below), whose sum is σ = 250348954189824. Its totient is φ = 26056391342400.

The previous prime is 101010414343997. The next prime is 101010414344027. The reversal of 101010414344010 is 10443414010101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20282314 + ... + 24766773.

It is an arithmetic number, because the mean of its divisors is an integer number (3911702409216).

Almost surely, 2101010414344010 is an apocalyptic number.

101010414344010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101010414344010 is an abundant number, since it is smaller than the sum of its proper divisors (149338539845814).

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

101010414344010 is a wasteful number, since it uses less digits than its factorization.

101010414344010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45051539.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101010414344010 its reverse (10443414010101), we get a palindrome (111453828354111).

The spelling of 101010414344010 in words is "one hundred one trillion, ten billion, four hundred fourteen million, three hundred forty-four thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 2411 4822 7233 12055 14466 24110 36165 72330 74741 149482 224223 373705 448446 747410 1121115 2242230 45049087 90098174 135147261 225245435 270294522 450490870 675736305 1351472610 1396521697 2793043394 4189565091 6982608485 8379130182 13965216970 20947825455 41895650910 108613348757 217226697514 325840046271 543066743785 651680092542 1086133487570 1629200231355 3258400462710 3367013811467 6734027622934 10101041434401 16835069057335 20202082868802 33670138114670 50505207172005 101010414344010