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20381121327 = 3753179102301
BaseRepresentation
bin10010111110110011…
…110011101100101111
31221121101200020102110
4102332303303230233
5313220031340302
613210222055103
71321030446540
oct227663635457
957541606373
1020381121327
118709680126
123b4971a493
131bca639308
14db4b744c7
157e4450b6c
hex4becf3b2f

20381121327 has 32 divisors (see below), whose sum is σ = 31820014080. Its totient is φ = 11362665600.

The previous prime is 20381121287. The next prime is 20381121367. The reversal of 20381121327 is 72312118302.

It is an interprime number because it is at equal distance from previous prime (20381121287) and next prime (20381121367).

It is not a de Polignac number, because 20381121327 - 27 = 20381121199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20381121294 and 20381121303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20381121367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148077 + ... + 250377.

It is an arithmetic number, because the mean of its divisors is an integer number (994375440).

Almost surely, 220381121327 is an apocalyptic number.

20381121327 is a deficient number, since it is larger than the sum of its proper divisors (11438892753).

20381121327 is a wasteful number, since it uses less digits than its factorization.

20381121327 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102543.

The product of its (nonzero) digits is 4032, while the sum is 30.

Adding to 20381121327 its reverse (72312118302), we get a palindrome (92693239629).

The spelling of 20381121327 in words is "twenty billion, three hundred eighty-one million, one hundred twenty-one thousand, three hundred twenty-seven".

Divisors: 1 3 7 21 53 159 179 371 537 1113 1253 3759 9487 28461 66409 102301 199227 306903 716107 2148321 5421953 16265859 18311879 37953671 54935637 113861013 128183153 384549459 970529587 2911588761 6793707109 20381121327