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11919058151 = 7111311907151
BaseRepresentation
bin10110001100110111…
…00110010011100111
31010202122210220000012
423012123212103213
5143402234330101
65250414440435
7601236215450
oct130633462347
933678726005
1011919058151
115066aa7890
12238780311b
13117c464840
14810d8c127
1549b5d2bbb
hex2c66e64e7

11919058151 has 16 divisors (see below), whose sum is σ = 16003212288. Its totient is φ = 8573148000.

The previous prime is 11919058057. The next prime is 11919058153. The reversal of 11919058151 is 15185091911.

It is a cyclic number.

It is not a de Polignac number, because 11919058151 - 214 = 11919041767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11919058099 and 11919058108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11919058153) 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 15 ways as a sum of consecutive naturals, for example, 5952575 + ... + 5954576.

It is an arithmetic number, because the mean of its divisors is an integer number (1000200768).

Almost surely, 211919058151 is an apocalyptic number.

11919058151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11919058151 is a deficient number, since it is larger than the sum of its proper divisors (4084154137).

11919058151 is a wasteful number, since it uses less digits than its factorization.

11919058151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11907182.

The product of its (nonzero) digits is 16200, while the sum is 41.

The spelling of 11919058151 in words is "eleven billion, nine hundred nineteen million, fifty-eight thousand, one hundred fifty-one".

Divisors: 1 7 11 13 77 91 143 1001 11907151 83350057 130978661 154792963 916850627 1083550741 1702722593 11919058151