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20501221221 = 3213853205421
BaseRepresentation
bin10011000101111101…
…111100111101100101
31221220202122221111200
4103011331330331211
5313441303034341
613230152153113
71324016335155
oct230575747545
957822587450
1020501221221
11877044aa38
123b81998799
131c19499840
14dc6ab8765
157eec75db6
hex4c5f7cf65

20501221221 has 24 divisors (see below), whose sum is σ = 31928330616. Its totient is φ = 12601284480.

The previous prime is 20501221219. The next prime is 20501221229. The reversal of 20501221221 is 12212210502.

20501221221 is a `hidden beast` number, since 20 + 501 + 22 + 122 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 333245025 + 20167976196 = 18255^2 + 142014^2 .

It is not a de Polignac number, because 20501221221 - 21 = 20501221219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20501221194 and 20501221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20501221229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2910 + ... + 202511.

It is an arithmetic number, because the mean of its divisors is an integer number (1330347109).

Almost surely, 220501221221 is an apocalyptic number.

It is an amenable number.

20501221221 is a deficient number, since it is larger than the sum of its proper divisors (11427109395).

20501221221 is a wasteful number, since it uses less digits than its factorization.

20501221221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206293 (or 206290 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 20501221221 its reverse (12212210502), we get a palindrome (32713431723).

The spelling of 20501221221 in words is "twenty billion, five hundred one million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 853 2559 7677 11089 33267 99801 205421 616263 1848789 2670473 8011419 24034257 175224113 525672339 1577017017 2277913469 6833740407 20501221221