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11332000211233 = 1313726772376809
BaseRepresentation
bin1010010011100110111111…
…0110001110000100100001
31111010022212120121212102011
42210321233312032010201
52441130414023224413
640033503220152521
72246465346336322
oct244715766160441
944108776555364
1011332000211233
113679968770579
121330273b38741
136427abb372a0
142b2686634449
15149b8839733d
hexa4e6fd8e121

11332000211233 has 16 divisors (see below), whose sum is σ = 12297367751760. Its totient is φ = 10380071955456.

The previous prime is 11332000211143. The next prime is 11332000211261. The reversal of 11332000211233 is 33211200023311.

11332000211233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 522220131904 + 10809780079329 = 722648^2 + 3287823^2 .

It is a cyclic number.

It is not a de Polignac number, because 11332000211233 - 221 = 11331998114081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11332000211293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3579333 + ... + 5956141.

It is an arithmetic number, because the mean of its divisors is an integer number (768585484485).

Almost surely, 211332000211233 is an apocalyptic number.

11332000211233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11332000211233 is a deficient number, since it is larger than the sum of its proper divisors (965367540527).

11332000211233 is a wasteful number, since it uses less digits than its factorization.

11332000211233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2379636.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11332000211233 its reverse (33211200023311), we get a palindrome (44543200234544).

The spelling of 11332000211233 in words is "eleven trillion, three hundred thirty-two billion, two hundred eleven thousand, two hundred thirty-three".

Divisors: 1 13 137 1781 2677 34801 366749 2376809 4767737 30898517 325622833 4233096829 6362717693 82715330009 871692323941 11332000211233