Search a number
-
+
121332565503342 = 23314511548517823
BaseRepresentation
bin11011100101100111110000…
…011101110110110101101110
3120220121021120002212110112000
4123211213300131312311232
5111400403043232101332
61110015224444153130
734361663040111144
oct3345476035666556
9526537502773460
10121332565503342
1135729941103026
12117370928387a6
1352917c52714cb
1421d6755685594
15e0621251db7c
hex6e59f0776d6e

121332565503342 has 32 divisors (see below), whose sum is σ = 269813745653760. Its totient is φ = 40416315154200.

The previous prime is 121332565503283. The next prime is 121332565503353. The reversal of 121332565503342 is 243305565233121.

121332565503342 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 3 + 2 + 56 + 550 + 3 + 3 + 42 = 666.

121332565503342 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 774180558 + ... + 774337265.

It is an arithmetic number, because the mean of its divisors is an integer number (8431679551680).

Almost surely, 2121332565503342 is an apocalyptic number.

121332565503342 is an abundant number, since it is smaller than the sum of its proper divisors (148481180150418).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121332565503342 is a wasteful number, since it uses less digits than its factorization.

121332565503342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548519285 (or 1548519279 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 121332565503342 in words is "one hundred twenty-one trillion, three hundred thirty-two billion, five hundred sixty-five million, five hundred three thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 1451 2902 4353 8706 13059 26118 39177 78354 1548517823 3097035646 4645553469 9291106938 13936660407 27873320814 41809981221 83619962442 2246899361173 4493798722346 6740698083519 13481396167038 20222094250557 40444188501114 60666282751671 121332565503342