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2142424031 = 111711456813
BaseRepresentation
bin111111110110010…
…1100101111011111
312112022100102021012
41333230230233133
513341430032111
6552331325435
7104043206126
oct17754545737
95468312235
102142424031
119aa384980
124b95b087b
13281b22b37
14164770abd
15c814748b
hex7fb2cbdf

2142424031 has 8 divisors (see below), whose sum is σ = 2474671824. Its totient is φ = 1833089920.

The previous prime is 2142424027. The next prime is 2142424051. The reversal of 2142424031 is 1304242412.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2142424031 - 22 = 2142424027 is a prime.

It is a super-2 number, since 2×21424240312 = 9179961457212577922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2142423988 and 2142424006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142424051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5728220 + ... + 5728593.

It is an arithmetic number, because the mean of its divisors is an integer number (309333978).

Almost surely, 22142424031 is an apocalyptic number.

2142424031 is a deficient number, since it is larger than the sum of its proper divisors (332247793).

2142424031 is a wasteful number, since it uses less digits than its factorization.

2142424031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11456841.

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 2142424031 is about 46286.3266094859. The cubic root of 2142424031 is about 1289.1451241671.

Adding to 2142424031 its reverse (1304242412), we get a palindrome (3446666443).

The spelling of 2142424031 in words is "two billion, one hundred forty-two million, four hundred twenty-four thousand, thirty-one".

Divisors: 1 11 17 187 11456813 126024943 194765821 2142424031