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2135312541 = 32237256949
BaseRepresentation
bin111111101000110…
…0100100010011101
312111210222010010200
41333101210202131
513333120000131
6551515054113
7103625566665
oct17721444235
95453863120
102135312541
119a6367a0a
124b7141339
13280502c5b
1416383d1a5
15c76e02e6
hex7f46489d

2135312541 has 6 divisors (see below), whose sum is σ = 3084340350. Its totient is φ = 1423541688.

The previous prime is 2135312521. The next prime is 2135312573. The reversal of 2135312541 is 1452135312.

It can be written as a sum of positive squares in only one way, i.e., 1923173316 + 212139225 = 43854^2 + 14565^2 .

It is not a de Polignac number, because 2135312541 - 26 = 2135312477 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135312521) 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 5 ways as a sum of consecutive naturals, for example, 118628466 + ... + 118628483.

It is an arithmetic number, because the mean of its divisors is an integer number (514056725).

Almost surely, 22135312541 is an apocalyptic number.

It is an amenable number.

2135312541 is a deficient number, since it is larger than the sum of its proper divisors (949027809).

2135312541 is a wasteful number, since it uses less digits than its factorization.

2135312541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237256955 (or 237256952 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2135312541 is about 46209.4421195495. The cubic root of 2135312541 is about 1287.7171614215.

Adding to 2135312541 its reverse (1452135312), we get a palindrome (3587447853).

The spelling of 2135312541 in words is "two billion, one hundred thirty-five million, three hundred twelve thousand, five hundred forty-one".

Divisors: 1 3 9 237256949 711770847 2135312541