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11120013020313 = 325343717533257
BaseRepresentation
bin1010000111010001010001…
…1011010000110010011001
31110101001200211022210022200
42201310110123100302121
52424142241313122223
635352244035040413
72225252201054661
oct241642433206231
943331624283280
1011120013020313
1135a7a754a741a
1212b7171a40109
136287c7219942
142a62d650b1a1
151443cc882a43
hexa1d146d0c99

11120013020313 has 24 divisors (see below), whose sum is σ = 16365707217288. Its totient is φ = 7273287620352.

The previous prime is 11120013020267. The next prime is 11120013020327. The reversal of 11120013020313 is 31302031002111.

11120013020313 is a `hidden beast` number, since 1 + 1 + 1 + 200 + 130 + 20 + 313 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7424033685264 + 3695979335049 = 2724708^2 + 1922493^2 .

It is not a de Polignac number, because 11120013020313 - 217 = 11120012889241 is a prime.

It is a super-5 number, since 5×111200130203135 (a number of 66 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (11120013020383) 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 23 ways as a sum of consecutive naturals, for example, 20586381 + ... + 21119637.

It is an arithmetic number, because the mean of its divisors is an integer number (681904467387).

Almost surely, 211120013020313 is an apocalyptic number.

It is an amenable number.

11120013020313 is a deficient number, since it is larger than the sum of its proper divisors (5245694196975).

11120013020313 is a wasteful number, since it uses less digits than its factorization.

11120013020313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577033 (or 577030 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11120013020313 its reverse (31302031002111), we get a palindrome (42422044022424).

It can be divided in two parts, 1112001 and 3020313, that added together give a palindrome (4132314).

The spelling of 11120013020313 in words is "eleven trillion, one hundred twenty billion, thirteen million, twenty thousand, three hundred thirteen".

Divisors: 1 3 9 53 159 477 43717 131151 393453 533257 1599771 2317001 4799313 6951003 20853009 28262621 84787863 254363589 23312396269 69937188807 209811566421 1235557002257 3706671006771 11120013020313