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2002312011 = 37331288061
BaseRepresentation
bin111011101011000…
…1101101101001011
312011112200222201010
41313112031231023
513100042441021
6530404255003
7100422241230
oct16726155513
95145628633
102002312011
11938286717
1247a6a1463
1325baa680b
1414dcdb787
15babbc976
hex7758db4b

2002312011 has 16 divisors (see below), whose sum is σ = 3060370688. Its totient is φ = 1140717600.

The previous prime is 2002312009. The next prime is 2002312021. The reversal of 2002312011 is 1102132002.

It is not a de Polignac number, because 2002312011 - 21 = 2002312009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2002312021) 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 15 ways as a sum of consecutive naturals, for example, 137080 + ... + 150981.

It is an arithmetic number, because the mean of its divisors is an integer number (191273168).

Almost surely, 22002312011 is an apocalyptic number.

2002312011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2002312011 is a deficient number, since it is larger than the sum of its proper divisors (1058058677).

2002312011 is a wasteful number, since it uses less digits than its factorization.

2002312011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288402.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2002312011 is about 44747.2011526978. The cubic root of 2002312011 is about 1260.4063548256.

Adding to 2002312011 its reverse (1102132002), we get a palindrome (3104444013).

Subtracting from 2002312011 its reverse (1102132002), we obtain a square (900180009 = 300032).

The spelling of 2002312011 in words is "two billion, two million, three hundred twelve thousand, eleven".

Divisors: 1 3 7 21 331 993 2317 6951 288061 864183 2016427 6049281 95348191 286044573 667437337 2002312011