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2105135461 = 111337537507
BaseRepresentation
bin111110101111001…
…1101000101100101
312102201011221222001
41331132131011211
513302403313321
6544520205301
7103111233112
oct17536350545
95381157861
102105135461
11990326480
124a9009831
132771984b0
1415d825909
15c4c2dc91
hex7d79d165

2105135461 has 32 divisors (see below), whose sum is σ = 2588277888. Its totient is φ = 1686147840.

The previous prime is 2105135453. The next prime is 2105135471. The reversal of 2105135461 is 1645315012.

It is not a de Polignac number, because 2105135461 - 23 = 2105135453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105135411) 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 31 ways as a sum of consecutive naturals, for example, 276670 + ... + 284176.

It is an arithmetic number, because the mean of its divisors is an integer number (80883684).

Almost surely, 22105135461 is an apocalyptic number.

It is an amenable number.

2105135461 is a deficient number, since it is larger than the sum of its proper divisors (483142427).

2105135461 is a wasteful number, since it uses less digits than its factorization.

2105135461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7621.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2105135461 is about 45881.7552083614. The cubic root of 2105135461 is about 1281.6221825891.

The spelling of 2105135461 in words is "two billion, one hundred five million, one hundred thirty-five thousand, four hundred sixty-one".

Divisors: 1 11 13 37 53 143 407 481 583 689 1961 5291 7507 7579 21571 25493 82577 97591 277759 280423 397871 1073501 3055349 3610867 4376581 5172323 14721227 39719537 56895553 161933497 191375951 2105135461