Search a number
-
+
10010011001112 = 23321714827551569
BaseRepresentation
bin1001000110101010001100…
…1001100110000100011000
31022102221120212200210122100
42101222203021212010120
52303001000304013422
633142311403323400
72052125255425413
oct221524311460430
938387525623570
1010010011001112
11320a249282361
121158010520560
13577c2b1c8115
142686b6916b7a
151255b3c757ac
hex91aa3266118

10010011001112 has 96 divisors (see below), whose sum is σ = 28707166659600. Its totient is φ = 3140178112512.

The previous prime is 10010011001101. The next prime is 10010011001119. The reversal of 10010011001112 is 21110011001001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010011001094 and 10010011001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010011001119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17872464 + ... + 18424032.

Almost surely, 210010011001112 is an apocalyptic number.

10010011001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10010011001112 is an abundant number, since it is smaller than the sum of its proper divisors (18697155658488).

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

10010011001112 is a wasteful number, since it uses less digits than its factorization.

10010011001112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566425 (or 566418 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10010011001112 its reverse (21110011001001), we get a palindrome (31120022002113).

The spelling of 10010011001112 in words is "ten trillion, ten billion, eleven million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 14827 29654 44481 59308 88962 118616 133443 177924 252059 266886 355848 504118 533772 551569 756177 1008236 1067544 1103138 1512354 1654707 2016472 2206276 2268531 3024708 3309414 4412552 4537062 4964121 6049416 6618828 9074124 9376673 9928242 13237656 18148248 18753346 19856484 28130019 37506692 39712968 56260038 75013384 84390057 112520076 168780114 225040152 337560228 675120456 8178113563 16356227126 24534340689 32712454252 49068681378 65424908504 73603022067 98137362756 139027930571 147206044134 196274725512 278055861142 294412088268 417083791713 556111722284 588824176536 834167583426 1112223444568 1251251375139 1668335166852 2502502750278 3336670333704 5005005500556 10010011001112