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11214104129 is a prime number
BaseRepresentation
bin10100111000110100…
…11010011001000001
31001221112022111212222
422130122122121001
5140431302313004
65052433100425
7544616212064
oct123432323101
931845274788
1011214104129
114835084458
12220b6b7715
1310993ac597
147854c48db
154597827be
hex29c69a641

11214104129 has 2 divisors, whose sum is σ = 11214104130. Its totient is φ = 11214104128.

The previous prime is 11214104087. The next prime is 11214104131. The reversal of 11214104129 is 92140141211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11067040000 + 147064129 = 105200^2 + 12127^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11214104129 is a prime.

It is a super-2 number, since 2×112141041292 (a number of 21 digits) contains 22 as substring.

Together with 11214104131, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 11214104098 and 11214104107.

It is not a weakly prime, because it can be changed into another prime (11214104329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5607052064 + 5607052065.

It is an arithmetic number, because the mean of its divisors is an integer number (5607052065).

Almost surely, 211214104129 is an apocalyptic number.

It is an amenable number.

11214104129 is a deficient number, since it is larger than the sum of its proper divisors (1).

11214104129 is an equidigital number, since it uses as much as digits as its factorization.

11214104129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 26.

The spelling of 11214104129 in words is "eleven billion, two hundred fourteen million, one hundred four thousand, one hundred twenty-nine".