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20404120001 = 176131957981
BaseRepresentation
bin10011000000001011…
…100010100111000001
31221122222221200200012
4103000023202213001
5313241423320001
613212403034305
71321430105216
oct230013424701
957588850605
1020404120001
1187206593a1
123b5536b995
131c0232c5b5
14db7c3db0d
157e64952bb
hex4c02e29c1

20404120001 has 8 divisors (see below), whose sum is σ = 21639617064. Its totient is φ = 19172540160.

The previous prime is 20404119959. The next prime is 20404120021. The reversal of 20404120001 is 10002140402.

It can be written as a sum of positive squares in 4 ways, for example, as 47679025 + 20356440976 = 6905^2 + 142676^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 20404120001 - 214 = 20404103617 is a prime.

It is a super-3 number, since 3×204041200013 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20404120021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 968570 + ... + 989411.

It is an arithmetic number, because the mean of its divisors is an integer number (2704952133).

Almost surely, 220404120001 is an apocalyptic number.

It is an amenable number.

20404120001 is a deficient number, since it is larger than the sum of its proper divisors (1235497063).

20404120001 is a wasteful number, since it uses less digits than its factorization.

20404120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958611.

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20404120001 its reverse (10002140402), we get a palindrome (30406260403).

The spelling of 20404120001 in words is "twenty billion, four hundred four million, one hundred twenty thousand, one".

Divisors: 1 17 613 10421 1957981 33285677 1200242353 20404120001