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2135442681 = 32972446097
BaseRepresentation
bin111111101001000…
…0100010011111001
312111211012201122200
41333102010103321
513333133131211
6551521540413
7103626651261
oct17722042371
95454181580
102135442681
119a6446769
124b71a4709
1328054a268
141638747a1
15c7718b56
hex7f4844f9

2135442681 has 12 divisors (see below), whose sum is σ = 3116328852. Its totient is φ = 1408951296.

The previous prime is 2135442671. The next prime is 2135442721. The reversal of 2135442681 is 1862445312.

It is a happy number.

2135442681 is a `hidden beast` number, since 2 + 13 + 544 + 26 + 81 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1782190656 + 353252025 = 42216^2 + 18795^2 .

It is not a de Polignac number, because 2135442681 - 25 = 2135442649 is a prime.

It is a super-4 number, since 4×21354426814 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2135442611) 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, 1222176 + ... + 1223921.

It is an arithmetic number, because the mean of its divisors is an integer number (259694071).

Almost surely, 22135442681 is an apocalyptic number.

It is an amenable number.

2135442681 is a deficient number, since it is larger than the sum of its proper divisors (980886171).

2135442681 is a wasteful number, since it uses less digits than its factorization.

2135442681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446200 (or 2446197 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2135442681 is about 46210.8502518618. The cubic root of 2135442681 is about 1287.7433215431.

Adding to 2135442681 its reverse (1862445312), we get a palindrome (3997887993).

It can be divided in two parts, 213544 and 2681, that added together give a square (216225 = 4652).

The spelling of 2135442681 in words is "two billion, one hundred thirty-five million, four hundred forty-two thousand, six hundred eighty-one".

Divisors: 1 3 9 97 291 873 2446097 7338291 22014873 237271409 711814227 2135442681