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11002122131 = 7111310991131
BaseRepresentation
bin10100011111100011…
…10000111110010011
31001101202102201020212
422033301300332103
5140013020402011
65015421354335
7536433331550
oct121761607623
931352381225
1011002122131
114736458220
1221707089ab
1310644bb550
147652a3a27
15445d5d08b
hex28fc70f93

11002122131 has 16 divisors (see below), whose sum is σ = 14772081408. Its totient is φ = 7913613600.

The previous prime is 11002122107. The next prime is 11002122137. The reversal of 11002122131 is 13122120011.

It is a cyclic number.

It is not a de Polignac number, because 11002122131 - 210 = 11002121107 is a prime.

It is a super-2 number, since 2×110021221312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11002122137) 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, 5494565 + ... + 5496566.

It is an arithmetic number, because the mean of its divisors is an integer number (923255088).

Almost surely, 211002122131 is an apocalyptic number.

11002122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11002122131 is a deficient number, since it is larger than the sum of its proper divisors (3769959277).

11002122131 is a wasteful number, since it uses less digits than its factorization.

11002122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10991162.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 11002122131 its reverse (13122120011), we get a palindrome (24124242142).

The spelling of 11002122131 in words is "eleven billion, two million, one hundred twenty-two thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 143 1001 10991131 76937917 120902441 142884703 846317087 1000192921 1571731733 11002122131