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2042417331 = 321931693769
BaseRepresentation
bin111100110111100…
…1101000010110011
312021100011112212100
41321233031002303
513140324323311
6534400031443
7101420155323
oct17157150263
95240145770
102042417331
11958989409
12490002583
132671a9286
1415537b283
15be490a56
hex79bcd0b3

2042417331 has 24 divisors (see below), whose sum is σ = 3107234000. Its totient is φ = 1289198592.

The previous prime is 2042417329. The next prime is 2042417339. The reversal of 2042417331 is 1337142402.

It is a happy number.

It is not a de Polignac number, because 2042417331 - 21 = 2042417329 is a prime.

It is a super-2 number, since 2×20424173312 = 8342937107938327122, 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 = 2042417295 and 2042417304.

It is not an unprimeable number, because it can be changed into a prime (2042417339) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540015 + ... + 543783.

Almost surely, 22042417331 is an apocalyptic number.

2042417331 is a deficient number, since it is larger than the sum of its proper divisors (1064816669).

2042417331 is a wasteful number, since it uses less digits than its factorization.

2042417331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6963 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2042417331 is about 45193.1115436855. Note that the first 3 decimals coincide. The cubic root of 2042417331 is about 1268.7658937690.

Adding to 2042417331 its reverse (1337142402), we get a palindrome (3379559733).

The spelling of 2042417331 in words is "two billion, forty-two million, four hundred seventeen thousand, three hundred thirty-one".

Divisors: 1 3 9 19 57 171 3169 3769 9507 11307 28521 33921 60211 71611 180633 214833 541899 644499 11943961 35831883 107495649 226935259 680805777 2042417331