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20110013021 = 72113232141
BaseRepresentation
bin10010101110101001…
…100111001001011101
31220220111112111202002
4102232221213021131
5312141130404041
613123255212045
71311226201400
oct225651471135
956814474662
1020110013021
11858a63a47a
123a92977025
131b86415bb7
14d8ab61d37
157ca74c59b
hex4aea6725d

20110013021 has 18 divisors (see below), whose sum is σ = 23602867002. Its totient is φ = 17084081280.

The previous prime is 20110013017. The next prime is 20110013057. The reversal of 20110013021 is 12031001102.

It can be written as a sum of positive squares in 3 ways, for example, as 120012025 + 19990000996 = 10955^2 + 141386^2 .

It is not a de Polignac number, because 20110013021 - 22 = 20110013017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20110012993 and 20110013011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110013071) 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 17 ways as a sum of consecutive naturals, for example, 609611 + ... + 641751.

It is an arithmetic number, because the mean of its divisors is an integer number (1311270389).

Almost surely, 220110013021 is an apocalyptic number.

It is an amenable number.

20110013021 is a deficient number, since it is larger than the sum of its proper divisors (3492853981).

20110013021 is an equidigital number, since it uses as much as digits as its factorization.

20110013021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32381 (or 32261 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 20110013021 its reverse (12031001102), we get a palindrome (32141014123).

The spelling of 20110013021 in words is "twenty billion, one hundred ten million, thirteen thousand, twenty-one".

Divisors: 1 7 49 113 791 5537 12769 32141 89383 224987 625681 1574909 3631933 25423531 177964717 410408429 2872859003 20110013021