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11004131413 = 1153157120223
BaseRepresentation
bin10100011111110010…
…11011100001010101
31001101220012210110201
422033321123201111
5140014024201123
65015532420501
7536456400532
oct121771334125
931356183421
1011004131413
1147375aa890
122171317731
131064a42c82
14765667d89
154461085ad
hex28fe5b855

11004131413 has 16 divisors (see below), whose sum is σ = 12309014016. Its totient is φ = 9752408640.

The previous prime is 11004131317. The next prime is 11004131429. The reversal of 11004131413 is 31413140011.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11004131413 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11004131513) 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, 31420 + ... + 151642.

It is an arithmetic number, because the mean of its divisors is an integer number (769313376).

Almost surely, 211004131413 is an apocalyptic number.

It is an amenable number.

11004131413 is a deficient number, since it is larger than the sum of its proper divisors (1304882603).

11004131413 is a wasteful number, since it uses less digits than its factorization.

11004131413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120444.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 11004131413 its reverse (31413140011), we get a palindrome (42417271424).

The spelling of 11004131413 in words is "eleven billion, four million, one hundred thirty-one thousand, four hundred thirteen".

Divisors: 1 11 53 157 583 1727 8321 91531 120223 1322453 6371819 18875011 70090009 207625121 1000375583 11004131413