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2002312132331 = 7396001722333
BaseRepresentation
bin11101001000110011000…
…110100111011011101011
321002102022120112100020212
4131020303012213123223
5230301213401213311
64131503254011335
7264443106206450
oct35106306473353
97072276470225
102002312132331
117021a2aa9055
1228408a346b4b
13116a81596804
146ccab999827
1537140e98c8b
hex1d2331a76eb

2002312132331 has 8 divisors (see below), whose sum is σ = 2288365669344. Its totient is φ = 1716260832000.

The previous prime is 2002312132283. The next prime is 2002312132339. The reversal of 2002312132331 is 1332312132002.

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 2002312132331 - 210 = 2002312131307 is a prime.

It is a super-3 number, since 3×20023121323313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2002312132297 and 2002312132306.

It is not an unprimeable number, because it can be changed into a prime (2002312132339) 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, 2410841 + ... + 3133173.

It is an arithmetic number, because the mean of its divisors is an integer number (286045708668).

Almost surely, 22002312132331 is an apocalyptic number.

2002312132331 is a deficient number, since it is larger than the sum of its proper divisors (286053537013).

2002312132331 is an equidigital number, since it uses as much as digits as its factorization.

2002312132331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118341.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2002312132331 its reverse (1332312132002), we get a palindrome (3334624264333).

The spelling of 2002312132331 in words is "two trillion, two billion, three hundred twelve million, one hundred thirty-two thousand, three hundred thirty-one".

Divisors: 1 7 396001 722333 2772007 5056331 286044590333 2002312132331