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2181119042133 = 321736412185409
BaseRepresentation
bin11111101111010100110…
…100110110001001010101
321201111211221021111102200
4133233110310312021111
5241213412433322013
64345554154355113
7313403106650463
oct37572464661125
97644757244380
102181119042133
11771009923979
122b287042ba99
1312a8a8c95a15
14777d1143833
153bb08a7de73
hex1fbd4d36255

2181119042133 has 24 divisors (see below), whose sum is σ = 3173661143640. Its totient is φ = 1443418275840.

The previous prime is 2181119042099. The next prime is 2181119042173. The reversal of 2181119042133 is 3312409111812.

It is a happy number.

2181119042133 is a `hidden beast` number, since 2 + 1 + 8 + 11 + 190 + 421 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1475488801809 + 705630240324 = 1214697^2 + 840018^2 .

It is not a de Polignac number, because 2181119042133 - 210 = 2181119041109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2181119042173) 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, 94668 + ... + 2090741.

It is an arithmetic number, because the mean of its divisors is an integer number (132235880985).

Almost surely, 22181119042133 is an apocalyptic number.

It is an amenable number.

2181119042133 is a deficient number, since it is larger than the sum of its proper divisors (992542101507).

2181119042133 is a wasteful number, since it uses less digits than its factorization.

2181119042133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186229 (or 2186226 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 2181119042133 in words is "two trillion, one hundred eighty-one billion, one hundred nineteen million, forty-two thousand, one hundred thirty-three".

Divisors: 1 3 9 173 519 641 1557 1923 5769 110893 332679 998037 2185409 6556227 19668681 378075757 1134227271 1400847169 3402681813 4202541507 12607624521 242346560237 727039680711 2181119042133