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11101312129 is a prime number
BaseRepresentation
bin10100101011011000…
…01001010010000001
31001122200002002100111
422111230021102001
5140213413442004
65033323351321
7542046411325
oct122554112201
931580062314
1011101312129
114787446126
122199982541
13107bc0a45b
14774523985
1544e902a04
hex295b09481

11101312129 has 2 divisors, whose sum is σ = 11101312130. Its totient is φ = 11101312128.

The previous prime is 11101312099. The next prime is 11101312177. The reversal of 11101312129 is 92121310111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6996987904 + 4104324225 = 83648^2 + 64065^2 .

It is a cyclic number.

It is not a de Polignac number, because 11101312129 - 211 = 11101310081 is a prime.

It is not a weakly prime, because it can be changed into another prime (11101012129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5550656064 + 5550656065.

It is an arithmetic number, because the mean of its divisors is an integer number (5550656065).

Almost surely, 211101312129 is an apocalyptic number.

It is an amenable number.

11101312129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11101312129 is an equidigital number, since it uses as much as digits as its factorization.

11101312129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 22.

The spelling of 11101312129 in words is "eleven billion, one hundred one million, three hundred twelve thousand, one hundred twenty-nine".