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11331132000223 = 715157726936899
BaseRepresentation
bin1010010011100011110000…
…0110010000011111011111
31111010020122001221011210211
42210320330012100133133
52441122124243001343
640033241123313251
72246435004560020
oct244707406203737
944106561834724
1011331132000223
113679562680812
12133007121b827
136426a0cc0c69
142b26031d0c47
15149b3704979d
hexa4e3c1907df

11331132000223 has 32 divisors (see below), whose sum is σ = 13064960332800. Its totient is φ = 9626385254400.

The previous prime is 11331132000217. The next prime is 11331132000247. The reversal of 11331132000223 is 32200023113311.

It is a cyclic number.

It is not a de Polignac number, because 11331132000223 - 233 = 11322542065631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11331132000194 and 11331132000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331132000623) 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 31 ways as a sum of consecutive naturals, for example, 1642427628 + ... + 1642434526.

It is an arithmetic number, because the mean of its divisors is an integer number (408280010400).

Almost surely, 211331132000223 is an apocalyptic number.

11331132000223 is a deficient number, since it is larger than the sum of its proper divisors (1733828332577).

11331132000223 is a wasteful number, since it uses less digits than its factorization.

11331132000223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10327.

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

Adding to 11331132000223 its reverse (32200023113311), we get a palindrome (43531155113534).

The spelling of 11331132000223 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, two hundred twenty-three", and thus it is an aban number.

Divisors: 1 7 151 577 1057 2693 4039 6899 18851 48293 87127 406643 609889 1041749 1553861 2846501 3980723 7292243 10877027 18579007 27865061 130053049 234633011 601089173 1642431077 2805430057 4207624211 10720087039 19638010399 75040609273 1618733142889 11331132000223