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2042231321 = 132193671733
BaseRepresentation
bin111100110111001…
…1111101000011001
312021022211002201002
41321232133220121
513140302400241
6534352034345
7101415452114
oct17156375031
95238732632
102042231321
11958871689
1248bb329b5
13267142700
1415532d57b
15be45589b
hex79b9fa19

2042231321 has 24 divisors (see below), whose sum is σ = 2335489920. Its totient is φ = 1780024896.

The previous prime is 2042231309. The next prime is 2042231333. The reversal of 2042231321 is 1231322402.

It is an interprime number because it is at equal distance from previous prime (2042231309) and next prime (2042231333).

It is not a de Polignac number, because 2042231321 - 222 = 2038037017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2042231293 and 2042231302.

It is not an unprimeable number, because it can be changed into a prime (2042231381) 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 23 ways as a sum of consecutive naturals, for example, 1177571 + ... + 1179303.

It is an arithmetic number, because the mean of its divisors is an integer number (97312080).

Almost surely, 22042231321 is an apocalyptic number.

It is an amenable number.

2042231321 is a deficient number, since it is larger than the sum of its proper divisors (293258599).

2042231321 is a wasteful number, since it uses less digits than its factorization.

2042231321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2042231321 is about 45191.0535504540. The cubic root of 2042231321 is about 1268.7273756358.

Adding to 2042231321 its reverse (1231322402), we get a palindrome (3273553723).

The spelling of 2042231321 in words is "two billion, forty-two million, two hundred thirty-one thousand, three hundred twenty-one".

Divisors: 1 13 19 169 247 367 1733 3211 4771 6973 22529 32927 62023 90649 292877 428051 636011 1178437 5564663 8268143 12084209 107485859 157094717 2042231321