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2135350311 = 342110131669
BaseRepresentation
bin111111101000110…
…1101110000100111
312111211001000221120
41333101231300213
513333122202221
6551515545023
7103626115053
oct17721556047
95454030846
102135350311
119a6393326
124b715b173
132805171c3
1416384cc63
15c76eb5c6
hex7f46dc27

2135350311 has 16 divisors (see below), whose sum is σ = 2858425440. Its totient is φ = 1417933440.

The previous prime is 2135350307. The next prime is 2135350333. The reversal of 2135350311 is 1130535312.

It is not a de Polignac number, because 2135350311 - 22 = 2135350307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135350351) 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, 1278585 + ... + 1280253.

It is an arithmetic number, because the mean of its divisors is an integer number (178651590).

Almost surely, 22135350311 is an apocalyptic number.

2135350311 is a deficient number, since it is larger than the sum of its proper divisors (723075129).

2135350311 is a wasteful number, since it uses less digits than its factorization.

2135350311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 2135350311 is about 46209.8508004516. The cubic root of 2135350311 is about 1287.7247538761.

Adding to 2135350311 its reverse (1130535312), we get a palindrome (3265885623).

The spelling of 2135350311 in words is "two billion, one hundred thirty-five million, three hundred fifty thousand, three hundred eleven".

Divisors: 1 3 421 1013 1263 1669 3039 5007 426473 702649 1279419 1690697 2107947 5072091 711783437 2135350311