Search a number
-
+
20102202210222 = 2331133842091263
BaseRepresentation
bin1001001001000011010001…
…00111110011011110101110
32122011202022000221201102000
410210201220213303132232
510113323302231211342
6110430454010113130
74143223211333226
oct444415047633656
978152260851360
1020102202210222
1164503290a2290
122307b36a1b7a6
13b2a825119b42
144d6d47973086
1524cd875c744c
hex1248689f37ae

20102202210222 has 32 divisors (see below), whose sum is σ = 48732611420160. Its totient is φ = 6091576427160.

The previous prime is 20102202210221. The next prime is 20102202210229. The reversal of 20102202210222 is 22201220220102.

20102202210222 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 220 + 221 + 0 + 222 = 666.

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 = 20102202210195 and 20102202210204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102202210221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16921045038 + ... + 16921046225.

It is an arithmetic number, because the mean of its divisors is an integer number (1522894106880).

Almost surely, 220102202210222 is an apocalyptic number.

20102202210222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20102202210222 is an abundant number, since it is smaller than the sum of its proper divisors (28630409209938).

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

20102202210222 is a wasteful number, since it uses less digits than its factorization.

20102202210222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33842091285 (or 33842091279 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 20102202210222 its reverse (22201220220102), we get a palindrome (42303422430324).

The spelling of 20102202210222 in words is "twenty trillion, one hundred two billion, two hundred two million, two hundred ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 33842091263 67684182526 101526273789 203052547578 304578821367 372263003893 609157642734 744526007786 913736464101 1116789011679 1827472928202 2233578023358 3350367035037 6700734070074 10051101105111 20102202210222