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220041144121331 = 1341737215599967
BaseRepresentation
bin110010000010000001010010…
…001110110011011111110011
31001212002201122200000111010202
4302002001102032303133303
5212320123230343340311
62055553301152545415
764230306451525061
oct6202012216633763
91055081580014122
10220041144121331
1164125a1a439745
1220819545b5226b
1395a1a38683530
143c4a096395031
151a68b960aae3b
hexc820523b37f3

220041144121331 has 16 divisors (see below), whose sum is σ = 242750414446848. Its totient is φ = 198158156889600.

The previous prime is 220041144121313. The next prime is 220041144121363. The reversal of 220041144121331 is 133121441140022.

It is a cyclic number.

It is not a de Polignac number, because 220041144121331 - 226 = 220041077012467 is a prime.

It is a super-2 number, since 2×2200411441213312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220041144121294 and 220041144121303.

It is not an unprimeable number, because it can be changed into a prime (220041144121031) 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 15 ways as a sum of consecutive naturals, for example, 36493310 + ... + 42093276.

It is an arithmetic number, because the mean of its divisors is an integer number (15171900902928).

Almost surely, 2220041144121331 is an apocalyptic number.

220041144121331 is a deficient number, since it is larger than the sum of its proper divisors (22709270325517).

220041144121331 is a wasteful number, since it uses less digits than its factorization.

220041144121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5673742.

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 220041144121331 its reverse (133121441140022), we get a palindrome (353162585261353).

The spelling of 220041144121331 in words is "two hundred twenty trillion, forty-one billion, one hundred forty-four million, one hundred twenty-one thousand, three hundred thirty-one".

Divisors: 1 13 41 533 73721 958373 3022561 5599967 39293293 72799571 229598647 2984782411 412835167207 5366857173691 16926241855487 220041144121331