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11332211011 = 116179313683
BaseRepresentation
bin10101000110111001…
…11101000101000011
31002020202112222001221
422203130331011003
5141202021223021
65112252335511
7550552130032
oct124334750503
932222488057
1011332211011
114895812950
122243174597
1310b79c2904
1479706a719
15464d12241
hex2a373d143

11332211011 has 32 divisors (see below), whose sum is σ = 12783467520. Its totient is φ = 9958291200.

The previous prime is 11332210987. The next prime is 11332211027. The reversal of 11332211011 is 11011223311.

It is a happy number.

11332211011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11332211011 - 25 = 11332210979 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11332211041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16591476 + ... + 16592158.

It is an arithmetic number, because the mean of its divisors is an integer number (399483360).

Almost surely, 211332211011 is an apocalyptic number.

11332211011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11332211011 is a deficient number, since it is larger than the sum of its proper divisors (1451256509).

11332211011 is a wasteful number, since it uses less digits than its factorization.

11332211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11332211011 its reverse (11011223311), we get a palindrome (22343434322).

The spelling of 11332211011 in words is "eleven billion, three hundred thirty-two million, two hundred eleven thousand, eleven".

Divisors: 1 11 61 79 313 671 683 869 3443 4819 7513 19093 24727 41663 53009 53957 210023 213779 271997 458293 593527 1508347 2351569 3291377 13040519 16591817 16888541 36205147 143445709 185773951 1030201001 11332211011