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221020221020103 = 32234877873278479
BaseRepresentation
bin110010010000010001000111…
…110000110001011111000111
31001222120022211012221020112200
4302100101013300301133013
5212432143403040120403
62102023142100445543
764361120055045021
oct6220210760613707
91058508735836480
10221020221020103
1164473170864a3a
12209572489a98b3
13964316ac4cbab
143c81615aa5011
151a8439aa14ca3
hexc90447c317c7

221020221020103 has 48 divisors (see below), whose sum is σ = 333859575429120. Its totient is φ = 140632655404032.

The previous prime is 221020221020099. The next prime is 221020221020113. The reversal of 221020221020103 is 301020122020122.

221020221020103 is a `hidden beast` number, since 221 + 0 + 20 + 221 + 0 + 201 + 0 + 3 = 666.

It is not a de Polignac number, because 221020221020103 - 22 = 221020221020099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221020221020113) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793530018 + ... + 793808496.

It is an arithmetic number, because the mean of its divisors is an integer number (6955407821440).

Almost surely, 2221020221020103 is an apocalyptic number.

221020221020103 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

221020221020103 is a deficient number, since it is larger than the sum of its proper divisors (112839354409017).

221020221020103 is a wasteful number, since it uses less digits than its factorization.

221020221020103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286868 (or 286865 counting only the distinct ones).

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

Adding to 221020221020103 its reverse (301020122020122), we get a palindrome (522040343040225).

The spelling of 221020221020103 in words is "two hundred twenty-one trillion, twenty billion, two hundred twenty-one million, twenty thousand, one hundred three".

Divisors: 1 3 9 23 69 207 487 1461 4383 7873 11201 23619 33603 70857 100809 181079 278479 543237 835437 1629711 2506311 3834151 6405017 11502453 19215051 34507359 57645153 88185473 135619273 264556419 406857819 793669257 1220573457 2192465167 3119243279 6577395501 9357729837 19732186503 28073189511 50426698841 151280096523 453840289569 1067730536329 3203191608987 9609574826961 24557802335567 73673407006701 221020221020103