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2002312311231 = 31193559461389
BaseRepresentation
bin11101001000110011000…
…111010011000110111111
321002102022120212102122210
4131020303013103012333
5230301213422424411
64131503301511503
7264443110553151
oct35106307230677
97072276772583
102002312311231
117021a3110501
1228408a412593
13116a8162a07b
146ccaba04ad1
1537140ed1ca6
hex1d2331d31bf

2002312311231 has 8 divisors (see below), whose sum is σ = 2671987598640. Its totient is φ = 1333755948992.

The previous prime is 2002312311229. The next prime is 2002312311257. The reversal of 2002312311231 is 1321132132002.

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 2002312311231 - 21 = 2002312311229 is a prime.

It is a super-3 number, since 3×20023123112313 (a number of 38 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 = 2002312311198 and 2002312311207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002312321231) 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, 279727116 + ... + 279734273.

It is an arithmetic number, because the mean of its divisors is an integer number (333998449830).

Almost surely, 22002312311231 is an apocalyptic number.

2002312311231 is a deficient number, since it is larger than the sum of its proper divisors (669675287409).

2002312311231 is a wasteful number, since it uses less digits than its factorization.

2002312311231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559462585.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2002312311231 its reverse (1321132132002), we get a palindrome (3323444443233).

The spelling of 2002312311231 in words is "two trillion, two billion, three hundred twelve million, three hundred eleven thousand, two hundred thirty-one".

Divisors: 1 3 1193 3579 559461389 1678384167 667437437077 2002312311231