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10020021221 = 721731212517
BaseRepresentation
bin10010101010011110…
…10110001111100101
3221212022102211002002
421111033112033211
5131010111134341
64334135455045
7503206526600
oct112517261745
927768384062
1010020021221
11428204a281
121b37827485
13c38baa452
146b0a95337
153d9a1529b
hex2553d63e5

10020021221 has 36 divisors (see below), whose sum is σ = 12753563724. Its totient is φ = 7821999360.

The previous prime is 10020021211. The next prime is 10020021233. The reversal of 10020021221 is 12212002001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8706756100 + 1313265121 = 93310^2 + 36239^2 .

It is a de Polignac number, because none of the positive numbers 2k-10020021221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020021211) 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 35 ways as a sum of consecutive naturals, for example, 794255 + ... + 806771.

It is an arithmetic number, because the mean of its divisors is an integer number (354265659).

Almost surely, 210020021221 is an apocalyptic number.

It is an amenable number.

10020021221 is a deficient number, since it is larger than the sum of its proper divisors (2733542503).

10020021221 is a wasteful number, since it uses less digits than its factorization.

10020021221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12610 (or 12572 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10020021221 its reverse (12212002001), we get a palindrome (22232023222).

The spelling of 10020021221 in words is "ten billion, twenty million, twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 17 31 49 119 217 527 833 961 1519 3689 6727 12517 16337 25823 47089 87619 114359 212789 388027 613333 800513 1489523 2716189 6596459 10426661 12028837 19013323 46175213 84201859 204490229 323226491 589413013 1431431603 10020021221