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2132101311 = 32341753659
BaseRepresentation
bin111111100010101…
…0100100010111111
312111120220222011020
41333011110202333
513331304220221
6551322155223
7103556363544
oct17705244277
95446828136
102132101311
119a45742aa
124b6052b13
1327c94a412
14163244bcb
15c72a8ac6
hex7f1548bf

2132101311 has 16 divisors (see below), whose sum is σ = 3038757120. Its totient is φ = 1326438080.

The previous prime is 2132101303. The next prime is 2132101319. The reversal of 2132101311 is 1131012312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2132101303) and next prime (2132101319).

It is a cyclic number.

It is not a de Polignac number, because 2132101311 - 23 = 2132101303 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132101319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 374001 + ... + 379658.

It is an arithmetic number, because the mean of its divisors is an integer number (189922320).

Almost surely, 22132101311 is an apocalyptic number.

2132101311 is a deficient number, since it is larger than the sum of its proper divisors (906655809).

2132101311 is a wasteful number, since it uses less digits than its factorization.

2132101311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753726.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2132101311 is about 46174.6825760611. The cubic root of 2132101311 is about 1287.0713183197.

Adding to 2132101311 its reverse (1131012312), we get a palindrome (3263113623).

The spelling of 2132101311 in words is "two billion, one hundred thirty-two million, one hundred one thousand, three hundred eleven".

Divisors: 1 3 23 41 69 123 943 2829 753659 2260977 17334157 30900019 52002471 92700057 710700437 2132101311