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2135323431 = 33313836661
BaseRepresentation
bin111111101000110…
…0111001100100111
312111210222200002000
41333101213030213
513333120322211
6551515220343
7103625643513
oct17721471447
95453880060
102135323431
119a637510a
124b71476b3
13280507bb7
14163843143
15c76e3656
hex7f467327

2135323431 has 32 divisors (see below), whose sum is σ = 3274506240. Its totient is φ = 1373824800.

The previous prime is 2135323429. The next prime is 2135323439. The reversal of 2135323431 is 1343235312.

It is not a de Polignac number, because 2135323431 - 21 = 2135323429 is a prime.

It is a super-2 number, since 2×21353234312 = 9119212309955223522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2135323395 and 2135323404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135323439) 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, 317241 + ... + 323901.

It is an arithmetic number, because the mean of its divisors is an integer number (102328320).

Almost surely, 22135323431 is an apocalyptic number.

2135323431 is a deficient number, since it is larger than the sum of its proper divisors (1139182809).

2135323431 is a wasteful number, since it uses less digits than its factorization.

2135323431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7084 (or 7078 counting only the distinct ones).

The product of its digits is 6480, while the sum is 27.

The square root of 2135323431 is about 46209.5599524601. The cubic root of 2135323431 is about 1287.7193505181.

Adding to 2135323431 its reverse (1343235312), we get a palindrome (3478558743).

The spelling of 2135323431 in words is "two billion, one hundred thirty-five million, three hundred twenty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 27 31 93 279 383 837 1149 3447 6661 10341 11873 19983 35619 59949 106857 179847 206491 320571 619473 1858419 2551163 5575257 7653489 22960467 68881401 79086053 237258159 711774477 2135323431