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221020221020094 = 232227313172818133
BaseRepresentation
bin110010010000010001000111…
…110000110001011110111110
31001222120022211012221020112100
4302100101013300301132332
5212432143403040120334
62102023142100445530
764361120055045006
oct6220210760613676
91058508735836470
10221020221020094
1164473170864a31
12209572489a98a6
13964316ac4cba2
143c81615aa5006
151a8439aa14c99
hexc90447c317be

221020221020094 has 48 divisors (see below), whose sum is σ = 482523438123792. Its totient is φ = 73114512741504.

The previous prime is 221020221020087. The next prime is 221020221020099. The reversal of 221020221020094 is 490020122020122.

221020221020094 is a `hidden beast` number, since 2 + 210 + 20 + 221 + 0 + 200 + 9 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020221020099) 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 23 ways as a sum of consecutive naturals, for example, 85130149 + ... + 87687984.

It is an arithmetic number, because the mean of its divisors is an integer number (10052571627579).

Almost surely, 2221020221020094 is an apocalyptic number.

221020221020094 is an abundant number, since it is smaller than the sum of its proper divisors (261503217103698).

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

221020221020094 is a wasteful number, since it uses less digits than its factorization.

221020221020094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172818681 (or 172818678 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 221020221020094 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty-one million, twenty thousand, ninety-four".

Divisors: 1 2 3 6 9 18 227 313 454 626 681 939 1362 1878 2043 2817 4086 5634 71051 142102 213153 426306 639459 1278918 172818133 345636266 518454399 1036908798 1555363197 3110726394 39229716191 54092075629 78459432382 108184151258 117689148573 162276226887 235378297146 324552453774 353067445719 486828680661 706134891438 973657361322 12278901167783 24557802335566 36836703503349 73673407006698 110510110510047 221020221020094