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20202340041 = 32134119321821
BaseRepresentation
bin10010110100001001…
…110011111011001001
31221010221021012121100
4102310021303323021
5312333244340131
613140354132013
71313430025362
oct226411637311
957127235540
1020202340041
1186277700a4
123ab9881009
131b9c5a1080
14d99116b69
157d38d87e6
hex4b4273ec9

20202340041 has 48 divisors (see below), whose sum is σ = 32360629392. Its totient is φ = 12065587200.

The previous prime is 20202340001. The next prime is 20202340051. The reversal of 20202340041 is 14004320202.

20202340041 is a `hidden beast` number, since 20 + 202 + 3 + 400 + 41 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5797299600 + 14405040441 = 76140^2 + 120021^2 .

It is not a de Polignac number, because 20202340041 - 218 = 20202077897 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20202339996 and 20202340023.

It is not an unprimeable number, because it can be changed into a prime (20202340001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914911 + ... + 936731.

It is an arithmetic number, because the mean of its divisors is an integer number (674179779).

Almost surely, 220202340041 is an apocalyptic number.

It is an amenable number.

20202340041 is a deficient number, since it is larger than the sum of its proper divisors (12158289351).

20202340041 is a wasteful number, since it uses less digits than its factorization.

20202340041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22074 (or 22071 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 20202340041 its reverse (14004320202), we get a palindrome (34206660243).

It can be divided in two parts, 202023 and 40041, that added together give a square (242064 = 4922).

The spelling of 20202340041 in words is "twenty billion, two hundred two million, three hundred forty thousand, forty-one".

Divisors: 1 3 9 13 39 41 117 123 193 369 533 579 1599 1737 2509 4797 7527 7913 21821 22581 23739 65463 71217 102869 196389 283673 308607 851019 894661 925821 2553057 2683983 4211453 8051949 11630593 12634359 34891779 37903077 54748889 104675337 164246667 172669573 492740001 518008719 1554026157 2244704449 6734113347 20202340041