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332131320031 = 72937109140531
BaseRepresentation
bin1001101010101001001…
…00011100000011011111
31011202021210200012120011
410311110210130003133
520420201104220111
6412325022504051
732665344432250
oct4652444340337
91152253605504
10332131320031
11118946520645
1254452135027
1325420929604
141210a66ab27
15898d48a021
hex4d5491c0df

332131320031 has 32 divisors (see below), whose sum is σ = 403659809280. Its totient is φ = 267186729600.

The previous prime is 332131319959. The next prime is 332131320043. The reversal of 332131320031 is 130023131233.

It is not a de Polignac number, because 332131320031 - 213 = 332131311839 is a prime.

It is a super-3 number, since 3×3321313200313 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 332131319984 and 332131320011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332131320061) 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 31 ways as a sum of consecutive naturals, for example, 8174236 + ... + 8214766.

It is an arithmetic number, because the mean of its divisors is an integer number (12614369040).

Almost surely, 2332131320031 is an apocalyptic number.

332131320031 is a deficient number, since it is larger than the sum of its proper divisors (71528489249).

332131320031 is a wasteful number, since it uses less digits than its factorization.

332131320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41695.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 332131320031 its reverse (130023131233), we get a palindrome (462154451264).

The spelling of 332131320031 in words is "three hundred thirty-two billion, one hundred thirty-one million, three hundred twenty thousand, thirty-one".

Divisors: 1 7 29 37 203 259 1073 1091 7511 7637 31639 40367 40531 221473 282569 283717 1170643 1175399 1499647 8194501 8227793 10497529 43489763 44219321 304428341 309535247 1282360309 1636114877 8976522163 11452804139 47447331433 332131320031