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221100141101241 = 34761316271572251
BaseRepresentation
bin110010010001011011100011…
…010111101100000010111001
31001222211222002222200000110210
4302101123203113230002321
5212440001042110214431
62102124000321301333
764366646416402023
oct6221334327540271
91058758088600423
10221100141101241
11644a4052645876
122096a831a94849
13964a86665252c
143c85437d99013
151a864c6e98d46
hexc916e35ec0b9

221100141101241 has 32 divisors (see below), whose sum is σ = 301749220067328. Its totient is φ = 143939965464000.

The previous prime is 221100141101219. The next prime is 221100141101249. The reversal of 221100141101241 is 142101141001122.

221100141101241 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 221100141101241 - 214 = 221100141084857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (221100141101249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139840366 + ... + 141412616.

It is an arithmetic number, because the mean of its divisors is an integer number (9429663127104).

Almost surely, 2221100141101241 is an apocalyptic number.

It is an amenable number.

221100141101241 is a deficient number, since it is larger than the sum of its proper divisors (80649078966087).

221100141101241 is a wasteful number, since it uses less digits than its factorization.

221100141101241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574541.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 221100141101241 its reverse (142101141001122), we get a palindrome (363201282102363).

The spelling of 221100141101241 in words is "two hundred twenty-one trillion, one hundred billion, one hundred forty-one million, one hundred one thousand, two hundred forty-one".

Divisors: 1 3 47 141 613 1627 1839 4881 28811 76469 86433 229407 997351 1572251 2992053 4716753 46875497 73895797 140626491 221687391 963789863 2558052377 2891369589 7674157131 45298123561 120228461719 135894370683 360685385157 1568086107101 4704258321303 73700047033747 221100141101241