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10414121129 is a prime number
BaseRepresentation
bin10011011001011101…
…01110000010101001
3222212210000011111222
421230232232002221
5132312003334004
64441214431425
7516033366116
oct115456560251
928783004458
1010414121129
114464555385
122027802575
13c9c734369
1470b16190d
1540e4107be
hex26cbae0a9

10414121129 has 2 divisors, whose sum is σ = 10414121130. Its totient is φ = 10414121128.

The previous prime is 10414121119. The next prime is 10414121143. The reversal of 10414121129 is 92112141401.

10414121129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8050216729 + 2363904400 = 89723^2 + 48620^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10414121129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10414121098 and 10414121107.

It is not a weakly prime, because it can be changed into another prime (10414121119) 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, 5207060564 + 5207060565.

It is an arithmetic number, because the mean of its divisors is an integer number (5207060565).

Almost surely, 210414121129 is an apocalyptic number.

It is an amenable number.

10414121129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414121129 is an equidigital number, since it uses as much as digits as its factorization.

10414121129 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 10414121129 in words is "ten billion, four hundred fourteen million, one hundred twenty-one thousand, one hundred twenty-nine".