Search a number
-
+
20331301221 = 3271153553549
BaseRepresentation
bin10010111011110101…
…110000100101100101
31221110220221010002100
4102323311300211211
5313114303114341
613201242202313
71316554131450
oct227365604545
957426833070
1020331301221
118693542590
123b34ab3399
131bc0214a6a
14dac2c6497
157dedae3b6
hex4bbd70965

20331301221 has 48 divisors (see below), whose sum is σ = 37304841600. Its totient is φ = 10362418560.

The previous prime is 20331301183. The next prime is 20331301223. The reversal of 20331301221 is 12210313302.

It is not a de Polignac number, because 20331301221 - 26 = 20331301157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20331301194 and 20331301203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20331301223) 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 47 ways as a sum of consecutive naturals, for example, 240046 + ... + 313503.

It is an arithmetic number, because the mean of its divisors is an integer number (777184200).

Almost surely, 220331301221 is an apocalyptic number.

20331301221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20331301221 is a deficient number, since it is larger than the sum of its proper divisors (16973540379).

20331301221 is a wasteful number, since it uses less digits than its factorization.

20331301221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553626 (or 553623 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20331301221 its reverse (12210313302), we get a palindrome (32541614523).

The spelling of 20331301221 in words is "twenty billion, three hundred thirty-one million, three hundred one thousand, two hundred twenty-one".

Divisors: 1 3 7 9 11 21 33 53 63 77 99 159 231 371 477 583 693 1113 1749 3339 4081 5247 12243 36729 553549 1660647 3874843 4981941 6089039 11624529 18267117 29338097 34873587 42623273 54801351 88014291 127869819 205366679 264042873 322719067 383609457 616100037 968157201 1848300111 2259033469 2904471603 6777100407 20331301221