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221033220144131 = 5312751536372617
BaseRepresentation
bin110010010000011101001110…
…100100011111110000000011
31001222121120101011002011101202
4302100131032210133300003
5212432402013324103011
62102033132021051415
764362060150553553
oct6220351644376003
91058546334064352
10221033220144131
11644787314a124a
1220959876256b6b
1396444600a5c65
143c820ca283163
151a848abd4223b
hexc9074e91fc03

221033220144131 has 16 divisors (see below), whose sum is σ = 227020998564864. Its totient is φ = 215113413924864.

The previous prime is 221033220144089. The next prime is 221033220144229. The reversal of 221033220144131 is 131441022330122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 221033220144131 - 26 = 221033220144067 is a prime.

It is a super-2 number, since 2×2210332201441312 (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 = 221033220144094 and 221033220144103.

It is not an unprimeable number, because it can be changed into a prime (221033226144131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31498535 + ... + 37871151.

It is an arithmetic number, because the mean of its divisors is an integer number (14188812410304).

Almost surely, 2221033220144131 is an apocalyptic number.

221033220144131 is a deficient number, since it is larger than the sum of its proper divisors (5987778420733).

221033220144131 is a wasteful number, since it uses less digits than its factorization.

221033220144131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6377950.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 221033220144131 its reverse (131441022330122), we get a palindrome (352474242474253).

The spelling of 221033220144131 in words is "two hundred twenty-one trillion, thirty-three billion, two hundred twenty million, one hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 53 127 5153 6731 273109 654431 6372617 34684843 337748701 809322359 32838095401 42894085027 1740419056253 4170438115927 221033220144131