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10010011000010 = 2575913124477561
BaseRepresentation
bin1001000110101010001100…
…1001100101110011001010
31022102221120212200202010112
42101222203021211303022
52303001000304000020
633142311403314322
72052125255422250
oct221524311456312
938387525622115
1010010011000010
11320a24928154a
12115801051b9a2
13577c2b1c7778
142686b69165d0
151255b3c752c5
hex91aa3265cca

10010011000010 has 128 divisors (see below), whose sum is σ = 21112310292480. Its totient is φ = 3346268889600.

The previous prime is 10010010999997. The next prime is 10010011000019. The reversal of 10010011000010 is 1000011001001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a junction number, because it is equal to n+sod(n) for n = 10010010999958 and 10010011000003.

It is not an unprimeable number, because it can be changed into a prime (10010011000019) 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, 1323896630 + ... + 1323904190.

It is an arithmetic number, because the mean of its divisors is an integer number (164939924160).

Almost surely, 210010011000010 is an apocalyptic number.

10010011000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010011000010 is an abundant number, since it is smaller than the sum of its proper divisors (11102299292470).

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

10010011000010 is a wasteful number, since it uses less digits than its factorization.

10010011000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10212.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10010011000010 its reverse (1000011001001), we get a palindrome (11010022001011).

Subtracting from 10010011000010 its reverse (1000011001001), we obtain a palindrome (9009999999009).

The spelling of 10010011000010 in words is "ten trillion, ten billion, eleven million, ten", and thus it is an aban number and an uban number.

Divisors: 1 2 5 7 10 14 35 59 70 118 131 262 295 413 590 655 826 917 1310 1834 2065 2447 4130 4585 4894 7561 7729 9170 12235 15122 15458 17129 24470 34258 37805 38645 52927 54103 75610 77290 85645 105854 108206 144373 171290 264635 270515 288746 320557 446099 529270 541030 641114 721865 892198 990491 1010611 1443730 1602785 1980982 2021222 2230495 2243899 3122693 3205570 4460990 4487798 4952455 5053055 6245386 6933437 9904910 10106110 11219495 13866874 15613465 18501767 18912863 22438990 31226930 34667185 37003534 37825726 58438969 69334370 92508835 94564315 116877938 129512369 132390041 185017670 189128630 259024738 264780082 292194845 409072783 584389690 647561845 661950205 818145566 1091604253 1295123690 1323900410 2045363915 2183208506 2423731477 4090727830 4847462954 5458021265 7641229771 10916042530 12118657385 15282459542 16966120339 24237314770 33932240678 38206148855 76412297710 84830601695 143000157143 169661203390 286000314286 715000785715 1001001100001 1430001571430 2002002200002 5005005500005 10010011000010