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10010132143424 = 26783972775313
BaseRepresentation
bin1001000110101010101001…
…0111101101110101000000
31022102221220022122110122122
42101222222113231311000
52303001222312042144
633142331412023412
72052131256215120
oct221525227556500
938387808573578
1010010132143424
11320a3006a4376
121158045001b68
13577c4a331c6a
142686c8a4cc80
151255be7047ee
hex91aaa5edd40

10010132143424 has 112 divisors (see below), whose sum is σ = 23211927005568. Its totient is φ = 4194673164288.

The previous prime is 10010132143381. The next prime is 10010132143447. The reversal of 10010132143424 is 42434123101001.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 10010132143393 and 10010132143402.

It is a congruent number.

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, 2219192 + ... + 4994504.

It is an arithmetic number, because the mean of its divisors is an integer number (207249348264).

Almost surely, 210010132143424 is an apocalyptic number.

10010132143424 is a gapful number since it is divisible by the number (14) 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 10010132143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11605963502784).

10010132143424 is an abundant number, since it is smaller than the sum of its proper divisors (13201794862144).

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

10010132143424 is an equidigital number, since it uses as much as digits as its factorization.

10010132143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775512 (or 2775502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 10010132143424 its reverse (42434123101001), we get a palindrome (52444255244425).

The spelling of 10010132143424 in words is "ten trillion, ten billion, one hundred thirty-two million, one hundred forty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 83 97 112 166 194 224 332 388 448 581 664 679 776 1162 1328 1358 1552 2324 2656 2716 3104 4648 5312 5432 6208 8051 9296 10864 16102 18592 21728 32204 37184 43456 56357 64408 112714 128816 225428 257632 450856 515264 901712 1803424 2775313 3606848 5550626 11101252 19427191 22202504 38854382 44405008 77708764 88810016 155417528 177620032 230350979 269205361 310835056 460701958 538410722 621670112 921403916 1076821444 1243340224 1612456853 1842807832 1884437527 2153642888 3224913706 3685615664 3768875054 4307285776 6449827412 7371231328 7537750108 8614571552 12899654824 14742462656 15075500216 17229143104 22344044963 25799309648 30151000432 44688089926 51598619296 60302000864 89376179852 103197238592 120604001728 156408314741 178752359704 312816629482 357504719408 625633258964 715009438816 1251266517928 1430018877632 2502533035856 5005066071712 10010132143424