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132105005010249 = 3431024069806281
BaseRepresentation
bin11110000010011000010111…
…111001011000110101001001
3122022202010002221022100022120
4132002120113321120311021
5114303402022240311444
61144544111304441453
736553162114110615
oct3602302771306511
9568663087270276
10132105005010249
11391024663a3417
1212996a02a79289
1358935aa5201cb
142489cb86b6345
15104154ada6b19
hex782617e58d49

132105005010249 has 8 divisors (see below), whose sum is σ = 180236285905632. Its totient is φ = 86021863727520.

The previous prime is 132105005010233. The next prime is 132105005010263. The reversal of 132105005010249 is 942010500501231.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 132105005010249 - 24 = 132105005010233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132105005010049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 512034903012 + ... + 512034903269.

It is an arithmetic number, because the mean of its divisors is an integer number (22529535738204).

Almost surely, 2132105005010249 is an apocalyptic number.

It is an amenable number.

132105005010249 is a deficient number, since it is larger than the sum of its proper divisors (48131280895383).

132105005010249 is a wasteful number, since it uses less digits than its factorization.

132105005010249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024069806327.

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 132105005010249 in words is "one hundred thirty-two trillion, one hundred five billion, five million, ten thousand, two hundred forty-nine".

Divisors: 1 3 43 129 1024069806281 3072209418843 44035001670083 132105005010249