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2135041001 = 1927381017
BaseRepresentation
bin111111101000010…
…0010001111101001
312111210110022122122
41333100202033221
513333032303001
6551505201025
7103623356222
oct17720421751
95453408578
102135041001
119a61a19a5
124b7030175
13280439492
141637ac249
15c7689b1b
hex7f4223e9

2135041001 has 12 divisors (see below), whose sum is σ = 2284221492. Its totient is φ = 1994937984.

The previous prime is 2135040997. The next prime is 2135041003. The reversal of 2135041001 is 1001405312.

It can be written as a sum of positive squares in 2 ways, for example, as 1771147225 + 363893776 = 42085^2 + 19076^2 .

It is not a de Polignac number, because 2135041001 - 22 = 2135040997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2135041003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14156 + ... + 66861.

It is an arithmetic number, because the mean of its divisors is an integer number (190351791).

Almost surely, 22135041001 is an apocalyptic number.

It is an amenable number.

2135041001 is a deficient number, since it is larger than the sum of its proper divisors (149180491).

2135041001 is an equidigital number, since it uses as much as digits as its factorization.

2135041001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81128 (or 81109 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2135041001 is about 46206.5038820294. The cubic root of 2135041001 is about 1287.6625743241.

Adding to 2135041001 its reverse (1001405312), we get a palindrome (3136446313).

The spelling of 2135041001 in words is "two billion, one hundred thirty-five million, forty-one thousand, one".

Divisors: 1 19 73 361 1387 26353 81017 1539323 5914241 29247137 112370579 2135041001