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2151323505041 = 172234143183581
BaseRepresentation
bin11111010011100100110…
…111111001000110010001
321121122221102201101102212
4133103210313321012101
5240221402304130131
64324145424521505
7311266542034424
oct37234467710621
97548842641385
102151323505041
1175a40a040957
122a8b35a80295
13127b3b08b3b9
14761a5d1d9bb
153ae62d91a2b
hex1f4e4df9191

2151323505041 has 48 divisors (see below), whose sum is σ = 2499664261248. Its totient is φ = 1845551769600.

The previous prime is 2151323505029. The next prime is 2151323505049. The reversal of 2151323505041 is 1405053231512.

It is not a de Polignac number, because 2151323505041 - 26 = 2151323504977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2151323504989 and 2151323505007.

It is not an unprimeable number, because it can be changed into a prime (2151323505049) 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 47 ways as a sum of consecutive naturals, for example, 11626871 + ... + 11810451.

It is an arithmetic number, because the mean of its divisors is an integer number (52076338776).

Almost surely, 22151323505041 is an apocalyptic number.

It is an amenable number.

2151323505041 is a deficient number, since it is larger than the sum of its proper divisors (348340756207).

2151323505041 is a wasteful number, since it uses less digits than its factorization.

2151323505041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183722 (or 183705 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

Adding to 2151323505041 its reverse (1405053231512), we get a palindrome (3556376736553).

The spelling of 2151323505041 in words is "two trillion, one hundred fifty-one billion, three hundred twenty-three million, five hundred five thousand, forty-one".

Divisors: 1 17 23 41 43 289 391 697 731 943 989 1763 6647 11849 12427 16031 16813 29971 40549 183581 272527 285821 509507 689333 3120877 4222363 7526821 7893983 11718661 53054909 71780171 127955957 134197711 173116883 181561609 323653303 1220262907 2175251269 2281361087 2942987011 3086547353 5502106151 7444025969 50030779187 52471305001 93535804567 126548441473 2151323505041