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20382121 is a prime number
BaseRepresentation
bin100110111000…
…0000110101001
31102100112000101
41031300012221
520204211441
62004505401
7335150044
oct115600651
942315011
1020382121
1110561431
1269ab261
1342b8336
1429c7c5b
151bc9231
hex13701a9

20382121 has 2 divisors, whose sum is σ = 20382122. Its totient is φ = 20382120.

The previous prime is 20382119. The next prime is 20382127. The reversal of 20382121 is 12128302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19360000 + 1022121 = 4400^2 + 1011^2 .

It is a cyclic number.

It is not a de Polignac number, because 20382121 - 21 = 20382119 is a prime.

Together with 20382119, it forms a pair of twin primes.

It is equal to p1293310 and since 20382121 and 1293310 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (20382127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10191060 + 10191061.

It is an arithmetic number, because the mean of its divisors is an integer number (10191061).

Almost surely, 220382121 is an apocalyptic number.

It is an amenable number.

20382121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20382121 is an equidigital number, since it uses as much as digits as its factorization.

20382121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 20382121 is about 4514.6562438352. The cubic root of 20382121 is about 273.1595939648.

It can be divided in two parts, 20382 and 121, that added together give a triangular number (20503 = T202).

The spelling of 20382121 in words is "twenty million, three hundred eighty-two thousand, one hundred twenty-one".