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10214422129 is a prime number
BaseRepresentation
bin10011000001101001…
…11011011001110001
3222100212020101222201
421200310323121301
5131404343002004
64405322303201
7511060104232
oct114064733161
928325211881
1010214422129
11437185858a
121b90957b01
13c6a254082
146cc81b089
153ebb156a4
hex260d3b671

10214422129 has 2 divisors, whose sum is σ = 10214422130. Its totient is φ = 10214422128.

The previous prime is 10214422073. The next prime is 10214422133. The reversal of 10214422129 is 92122441201.

10214422129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9852547600 + 361874529 = 99260^2 + 19023^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10214422129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10214422097 and 10214422106.

It is not a weakly prime, because it can be changed into another prime (10214422189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5107211064 + 5107211065.

It is an arithmetic number, because the mean of its divisors is an integer number (5107211065).

Almost surely, 210214422129 is an apocalyptic number.

It is an amenable number.

10214422129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10214422129 is an equidigital number, since it uses as much as digits as its factorization.

10214422129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 10214422129 in words is "ten billion, two hundred fourteen million, four hundred twenty-two thousand, one hundred twenty-nine".