2142434434031 has 32 divisors (see below), whose sum is σ = 2328917754240. Its totient is φ = 1962891673600.

The previous prime is 2142434433977. The next prime is 2142434434111. The reversal of 2142434434031 is 1304344342412.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2142434434031 is a prime.

It is a super-2 number, since 2×2142434434031² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2142434433982 and 2142434434000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142434439031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1134162335 + ... + 1134164223.

It is an arithmetic number, because the mean of its divisors is an integer number (72778679820).

Almost surely, 2^{2142434434031} is an apocalyptic number.

2142434434031 is a deficient number, since it is larger than the sum of its proper divisors (186483320209).

2142434434031 is a wasteful number, since it uses less digits than its factorization.

2142434434031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4675.

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 2142434434031 its reverse (1304344342412), we get a palindrome (3446778776443).

The spelling of 2142434434031 in words is "two trillion, one hundred forty-two billion, four hundred thirty-four million, four hundred thirty-four thousand, thirty-one".