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2011132002 = 2311274111117
BaseRepresentation
bin111011111011111…
…0111000001100010
312012011022002110110
41313313313001202
513104322211002
6531321312150
7100560224415
oct16767670142
95164262413
102011132002
11942260270
12481635656
13260874249
14151155b7c
15bb860e6c
hex77df7062

2011132002 has 32 divisors (see below), whose sum is σ = 4389920064. Its totient is φ = 609156800.

The previous prime is 2011131971. The next prime is 2011132033. The reversal of 2011132002 is 2002311102.

It is an interprime number because it is at equal distance from previous prime (2011131971) and next prime (2011132033).

It is an unprimeable number.

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, 175348 + ... + 186464.

It is an arithmetic number, because the mean of its divisors is an integer number (137185002).

Almost surely, 22011132002 is an apocalyptic number.

2011132002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2011132002 is an abundant number, since it is smaller than the sum of its proper divisors (2378788062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2011132002 is a wasteful number, since it uses less digits than its factorization.

2011132002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13874.

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

The square root of 2011132002 is about 44845.6464107721. The cubic root of 2011132002 is about 1262.2543002178.

Adding to 2011132002 its reverse (2002311102), we get a palindrome (4013443104).

Subtracting from 2011132002 its reverse (2002311102), we obtain a square (8820900 = 29702).

The spelling of 2011132002 in words is "two billion, eleven million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 2741 5482 8223 11117 16446 22234 30151 33351 60302 66702 90453 122287 180906 244574 366861 733722 30471697 60943394 91415091 182830182 335188667 670377334 1005566001 2011132002