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2132341705 = 513172113513
BaseRepresentation
bin111111100011000…
…1111001111001001
312111121101011220201
41333012033033021
513331334413310
6551331252201
7103561414444
oct17706171711
95447334821
102132341705
119a471897a
124b614a061
1327ca02970
141632a865b
15c7304e3a
hex7f18f3c9

2132341705 has 24 divisors (see below), whose sum is σ = 2927299032. Its totient is φ = 1482012672.

The previous prime is 2132341697. The next prime is 2132341721. The reversal of 2132341705 is 5071432312.

It can be written as a sum of positive squares in 12 ways, for example, as 85322169 + 2047019536 = 9237^2 + 45244^2 .

It is not a de Polignac number, because 2132341705 - 23 = 2132341697 is a prime.

It is a super-2 number, since 2×21323417052 = 9093762293764614050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37972 + ... + 75541.

It is an arithmetic number, because the mean of its divisors is an integer number (121970793).

Almost surely, 22132341705 is an apocalyptic number.

It is an amenable number.

2132341705 is a deficient number, since it is larger than the sum of its proper divisors (794957327).

2132341705 is a wasteful number, since it uses less digits than its factorization.

2132341705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113565 (or 113548 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 2132341705 is about 46177.2855958425. The cubic root of 2132341705 is about 1287.1196888471.

The spelling of 2132341705 in words is "two billion, one hundred thirty-two million, three hundred forty-one thousand, seven hundred five".

Divisors: 1 5 13 17 65 85 221 289 1105 1445 3757 18785 113513 567565 1475669 1929721 7378345 9648605 25086373 32805257 125431865 164026285 426468341 2132341705