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42120332331 = 37211231132541
BaseRepresentation
bin100111001110100100…
…010100010000101011
311000201102211120122120
4213032210110100223
51142230301113311
631203320522323
73020531626500
oct471644242053
9130642746576
1042120332331
1116954914110
1281b60203a3
133c8343bb8c
14207802b4a7
151167c18706
hex9ce91442b

42120332331 has 48 divisors (see below), whose sum is σ = 74367237888. Its totient is φ = 20929339200.

The previous prime is 42120332299. The next prime is 42120332333. The reversal of 42120332331 is 13323302124.

It is not a de Polignac number, because 42120332331 - 25 = 42120332299 is a prime.

It is a super-2 number, since 2×421203323312 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42120332333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 529080 + ... + 603461.

It is an arithmetic number, because the mean of its divisors is an integer number (1549317456).

Almost surely, 242120332331 is an apocalyptic number.

42120332331 is a deficient number, since it is larger than the sum of its proper divisors (32246905557).

42120332331 is a wasteful number, since it uses less digits than its factorization.

42120332331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1132592 (or 1132585 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 42120332331 its reverse (13323302124), we get a palindrome (55443634455).

The spelling of 42120332331 in words is "forty-two billion, one hundred twenty million, three hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 539 759 1127 1617 1771 3381 5313 12397 37191 1132541 3397623 7927787 12457951 23783361 26048443 37373853 55494509 78145329 87205657 166483527 182339101 261616971 286532873 547017303 610439599 859598619 1276373707 1831318797 2005730111 3829121121 6017190333 14040110777 42120332331