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10034223412000 = 255317147562109
BaseRepresentation
bin1001001000000100011001…
…0100100111001100100000
31022112021002021121201022011
42102001012110213030200
52303400042143141000
633201354131322304
72053643260503544
oct222010624471440
938467067551264
1010034223412000
113219543584a97
121160849150394
1357a2b9505778
14269932445a24
1512602e7232ba
hex92046527320

10034223412000 has 96 divisors (see below), whose sum is σ = 26104327507440. Its totient is φ = 3777589964800.

The previous prime is 10034223411997. The next prime is 10034223412019. The reversal of 10034223412000 is 21432243001.

It can be written as a sum of positive squares in 8 ways, for example, as 913026114576 + 9121197297424 = 955524^2 + 3020132^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73713055 + ... + 73849054.

Almost surely, 210034223412000 is an apocalyptic number.

10034223412000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034223412000 is an abundant number, since it is smaller than the sum of its proper divisors (16070104095440).

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

10034223412000 is a wasteful number, since it uses less digits than its factorization.

10034223412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147562151 (or 147562133 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10034223412000 its reverse (21432243001), we get a palindrome (10055655655001).

The spelling of 10034223412000 in words is "ten trillion, thirty-four billion, two hundred twenty-three million, four hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 680 800 850 1000 1360 1700 2000 2125 2720 3400 4000 4250 6800 8500 13600 17000 34000 68000 147562109 295124218 590248436 737810545 1180496872 1475621090 2360993744 2508555853 2951242180 3689052725 4721987488 5017111706 5902484360 7378105450 10034223412 11804968720 12542779265 14756210900 18445263625 20068446824 23609937440 25085558530 29512421800 36890527250 40136893648 50171117060 59024843600 62713896325 73781054500 80273787296 100342234120 118049687200 125427792650 147562109000 200684468240 250855585300 295124218000 313569481625 401368936480 501711170600 590248436000 627138963250 1003422341200 1254277926500 2006844682400 2508555853000 5017111706000 10034223412000