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20414010321 = 327331071553
BaseRepresentation
bin10011000000110001…
…010001001111010001
31221200200120011122100
4103000301101033101
5313301441312241
613213355031013
71321610140035
oct230061211721
957620504570
1020414010321
1187261a4111
123b5873b469
131c043b3263
14db92961c5
157e729a9b6
hex4c0c513d1

20414010321 has 12 divisors (see below), whose sum is σ = 29890834948. Its totient is φ = 13422910464.

The previous prime is 20414010313. The next prime is 20414010349. The reversal of 20414010321 is 12301041402.

20414010321 is a `hidden beast` number, since 204 + 140 + 1 + 0 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15395846400 + 5018163921 = 124080^2 + 70839^2 .

It is not a de Polignac number, because 20414010321 - 23 = 20414010313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20414010294 and 20414010303.

It is not an unprimeable number, because it can be changed into a prime (20414010311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15535120 + ... + 15536433.

Almost surely, 220414010321 is an apocalyptic number.

It is an amenable number.

20414010321 is a deficient number, since it is larger than the sum of its proper divisors (9476824627).

20414010321 is a wasteful number, since it uses less digits than its factorization.

20414010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31071632 (or 31071629 counting only the distinct ones).

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

Adding to 20414010321 its reverse (12301041402), we get a palindrome (32715051723).

The spelling of 20414010321 in words is "twenty billion, four hundred fourteen million, ten thousand, three hundred twenty-one".

Divisors: 1 3 9 73 219 657 31071553 93214659 279643977 2268223369 6804670107 20414010321