Search a number
-
+
20221211022093 = 332404931141991
BaseRepresentation
bin1001001100100000111100…
…00110011001001100001101
32122121010110222000202102000
410212100132012121030031
510122301020010201333
6111001255054022513
74154635313465304
oct446203606311415
978533428022360
1020221211022093
116496849502064
12232700a7a7a39
13b38b0cb60b53
144dc9d73c343b
1525100053c713
hex12641e19930d

20221211022093 has 16 divisors (see below), whose sum is σ = 29958596304000. Its totient is φ = 13480246359360.

The previous prime is 20221211022079. The next prime is 20221211022119. The reversal of 20221211022093 is 39022011212202.

20221211022093 is a `hidden beast` number, since 2 + 0 + 221 + 211 + 0 + 220 + 9 + 3 = 666.

It is not a de Polignac number, because 20221211022093 - 29 = 20221211021581 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20221211022013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14921673 + ... + 16220318.

It is an arithmetic number, because the mean of its divisors is an integer number (1872412269000).

Almost surely, 220221211022093 is an apocalyptic number.

It is an amenable number.

20221211022093 is a deficient number, since it is larger than the sum of its proper divisors (9737385281907).

20221211022093 is a wasteful number, since it uses less digits than its factorization.

20221211022093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31166049 (or 31166043 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 20221211022093 its reverse (39022011212202), we get a palindrome (59243222234295).

The spelling of 20221211022093 in words is "twenty trillion, two hundred twenty-one billion, two hundred eleven million, twenty-two thousand, ninety-three".

Divisors: 1 3 9 27 24049 72147 216441 649323 31141991 93425973 280277919 840833757 748933741559 2246801224677 6740403674031 20221211022093