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2320440433121 = 29509157200761
BaseRepresentation
bin100001110001000101000…
…001110001100111100001
322012211110111001110121202
4201301011001301213201
5301004230222324441
64533555015330545
7326434451150036
oct41610501614741
98184414043552
102320440433121
11815103149018
12315872980a55
1313aa80097c05
148044a5a538d
154055ee0619b
hex21c450719e1

2320440433121 has 8 divisors (see below), whose sum is σ = 2405171658600. Its totient is φ = 2236023610240.

The previous prime is 2320440433099. The next prime is 2320440433127. The reversal of 2320440433121 is 1213340440232.

It can be written as a sum of positive squares in 4 ways, for example, as 624038381521 + 1696402051600 = 789961^2 + 1302460^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 2320440433121 - 218 = 2320440170977 is a prime.

It is a super-3 number, since 3×23204404331213 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2320440433127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78585620 + ... + 78615141.

It is an arithmetic number, because the mean of its divisors is an integer number (300646457325).

Almost surely, 22320440433121 is an apocalyptic number.

It is an amenable number.

2320440433121 is a deficient number, since it is larger than the sum of its proper divisors (84731225479).

2320440433121 is a wasteful number, since it uses less digits than its factorization.

2320440433121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157201299.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 2320440433121 its reverse (1213340440232), we get a palindrome (3533780873353).

The spelling of 2320440433121 in words is "two trillion, three hundred twenty billion, four hundred forty million, four hundred thirty-three thousand, one hundred twenty-one".

Divisors: 1 29 509 14761 157200761 4558822069 80015187349 2320440433121