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2042232431 = 59255713537
BaseRepresentation
bin111100110111001…
…1111111001101111
312021022211011020012
41321232133321233
513140302414211
6534352043435
7101415455261
oct17156377157
95238734205
102042232431
119588724a8
1248bb3357b
13267143075
1415532db31
15be455d8b
hex79b9fe6f

2042232431 has 8 divisors (see below), whose sum is σ = 2077812240. Its totient is φ = 2006684928.

The previous prime is 2042232419. The next prime is 2042232487. The reversal of 2042232431 is 1342322402.

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 2042232431 - 210 = 2042231407 is a prime.

It is a super-2 number, since 2×20422324312 = 8341426604456339522, 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 = 2042232397 and 2042232406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042231431) 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, 144095 + ... + 157631.

It is an arithmetic number, because the mean of its divisors is an integer number (259726530).

Almost surely, 22042232431 is an apocalyptic number.

2042232431 is a deficient number, since it is larger than the sum of its proper divisors (35579809).

2042232431 is a wasteful number, since it uses less digits than its factorization.

2042232431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16153.

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2042232431 is about 45191.0658316442. The cubic root of 2042232431 is about 1268.7276054966.

Adding to 2042232431 its reverse (1342322402), we get a palindrome (3384554833).

The spelling of 2042232431 in words is "two billion, forty-two million, two hundred thirty-two thousand, four hundred thirty-one".

Divisors: 1 59 2557 13537 150863 798683 34614109 2042232431