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11123100131 = 1113370121017
BaseRepresentation
bin10100101101111110…
…10000100111100011
31001201012002000212112
422112333100213203
5140240003201011
65035422345535
7542432535233
oct122677204743
931635060775
1011123100131
114798777840
1221a512b2ab
131083598670
14777395cc3
154517a858b
hex296fd09e3

11123100131 has 16 divisors (see below), whose sum is σ = 13071850848. Its totient is φ = 9331104000.

The previous prime is 11123100113. The next prime is 11123100151. The reversal of 11123100131 is 13100132111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11123100131 - 26 = 11123100067 is a prime.

It is a super-2 number, since 2×111231001312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11123100151) 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, 518735 + ... + 539751.

It is an arithmetic number, because the mean of its divisors is an integer number (816990678).

Almost surely, 211123100131 is an apocalyptic number.

11123100131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11123100131 is a deficient number, since it is larger than the sum of its proper divisors (1948750717).

11123100131 is a wasteful number, since it uses less digits than its factorization.

11123100131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24742.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 11123100131 its reverse (13100132111), we get a palindrome (24223232242).

The spelling of 11123100131 in words is "eleven billion, one hundred twenty-three million, one hundred thousand, one hundred thirty-one".

Divisors: 1 11 13 143 3701 21017 40711 48113 231187 273221 529243 3005431 77783917 855623087 1011190921 11123100131