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141219221 = 11213175281
BaseRepresentation
bin10000110101011…
…01010110010101
3100211201200100112
420122231112111
5242123003341
622002452405
73333225563
oct1032552625
9324650315
10141219221
1172795100
123b364105
1323346290
1414a80a33
15c5e7aeb
hex86ad595

141219221 has 24 divisors (see below), whose sum is σ = 177031512. Its totient is φ = 111513600.

The previous prime is 141219139. The next prime is 141219223. The reversal of 141219221 is 122912141.

141219221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2686321 + 138532900 = 1639^2 + 11770^2 .

It is not a de Polignac number, because 141219221 - 226 = 74110357 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141219223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24101 + ... + 29381.

It is an arithmetic number, because the mean of its divisors is an integer number (7376313).

Almost surely, 2141219221 is an apocalyptic number.

141219221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141219221 is a deficient number, since it is larger than the sum of its proper divisors (35812291).

141219221 is a wasteful number, since it uses less digits than its factorization.

141219221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333 (or 5322 counting only the distinct ones).

The product of its digits is 288, while the sum is 23.

The square root of 141219221 is about 11883.5693711948. The cubic root of 141219221 is about 520.7523884077.

The spelling of 141219221 in words is "one hundred forty-one million, two hundred nineteen thousand, two hundred twenty-one".

Divisors: 1 11 13 17 121 143 187 221 1573 2057 2431 5281 26741 58091 68653 89777 639001 755183 987547 1167101 8307013 10863017 12838111 141219221