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20213220321 = 3271125128517
BaseRepresentation
bin10010110100110011…
…010100001111100001
31221011200201222112200
4102310303110033201
5312344041022241
613141423243413
71313621352330
oct226463241741
957150658480
1020213220321
118632921668
123b01449569
131ba19104c8
14d9a749d17
157d48374b6
hex4b4cd43e1

20213220321 has 24 divisors (see below), whose sum is σ = 33371991744. Its totient is φ = 11548980000.

The previous prime is 20213220311. The next prime is 20213220323. The reversal of 20213220321 is 12302231202.

20213220321 is a `hidden beast` number, since 2 + 0 + 21 + 322 + 0 + 321 = 666.

It is not a de Polignac number, because 20213220321 - 26 = 20213220257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20213220294 and 20213220303.

It is not an unprimeable number, because it can be changed into a prime (20213220323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694555 + ... + 723071.

It is an arithmetic number, because the mean of its divisors is an integer number (1390499656).

Almost surely, 220213220321 is an apocalyptic number.

20213220321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20213220321 is a deficient number, since it is larger than the sum of its proper divisors (13158771423).

20213220321 is a wasteful number, since it uses less digits than its factorization.

20213220321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39781 (or 39778 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20213220321 its reverse (12302231202), we get a palindrome (32515451523).

The spelling of 20213220321 in words is "twenty billion, two hundred thirteen million, two hundred twenty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 63 11251 28517 33753 78757 85551 101259 199619 236271 256653 598857 708813 1796571 320844767 962534301 2245913369 2887602903 6737740107 20213220321