Search a number
-
+
10001132222220 = 22325424113101119
BaseRepresentation
bin1001000110001001000111…
…1011101111011100001100
31022102002200002201002201200
42101202101323233130030
52302324304322102340
633134242352305500
72051362244152566
oct221422173573414
938362602632650
1010001132222220
113206502457367
121156352b42290
135771448ab7b9
142680b3658336
15125244541330
hex91891eef70c

10001132222220 has 72 divisors (see below), whose sum is σ = 30343923267840. Its totient is φ = 2666339535360.

The previous prime is 10001132222209. The next prime is 10001132222267. The reversal of 10001132222220 is 2222223110001.

10001132222220 is a `hidden beast` number, since 100 + 0 + 1 + 1 + 322 + 22 + 220 = 666.

10001132222220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10001132222193 and 10001132222202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5787180 + ... + 7313939.

It is an arithmetic number, because the mean of its divisors is an integer number (421443378720).

Almost surely, 210001132222220 is an apocalyptic number.

10001132222220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001132222220 is an abundant number, since it is smaller than the sum of its proper divisors (20342791045620).

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

10001132222220 is a wasteful number, since it uses less digits than its factorization.

10001132222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13105375 (or 13105370 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10001132222220 its reverse (2222223110001), we get a palindrome (12223355332221).

The spelling of 10001132222220 in words is "ten trillion, one billion, one hundred thirty-two million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4241 8482 12723 16964 21205 25446 38169 42410 50892 63615 76338 84820 127230 152676 190845 254460 381690 763380 13101119 26202238 39303357 52404476 65505595 78606714 117910071 131011190 157213428 196516785 235820142 262022380 393033570 471640284 589550355 786067140 1179100710 2358201420 55561845679 111123691358 166685537037 222247382716 277809228395 333371074074 500056611111 555618456790 666742148148 833427685185 1000113222222 1111236913580 1666855370370 2000226444444 2500283055555 3333710740740 5000566111110 10001132222220