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4212412129 is a prime number
BaseRepresentation
bin1111101100010100…
…0100111011100001
3101212120101201010001
43323011010323201
532111334142004
61533554340001
7206246624632
oct37305047341
911776351101
104212412129
111871884642
1299688a601
13521933473
142bd647889
15199c321a4
hexfb144ee1

4212412129 has 2 divisors, whose sum is σ = 4212412130. Its totient is φ = 4212412128.

The previous prime is 4212412111. The next prime is 4212412159. The reversal of 4212412129 is 9212142124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3739567104 + 472845025 = 61152^2 + 21745^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4212412129 is a prime.

It is a super-4 number, since 4×42124121294 (a number of 40 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4212412097 and 4212412106.

It is not a weakly prime, because it can be changed into another prime (4212412109) 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, 2106206064 + 2106206065.

It is an arithmetic number, because the mean of its divisors is an integer number (2106206065).

Almost surely, 24212412129 is an apocalyptic number.

It is an amenable number.

4212412129 is a deficient number, since it is larger than the sum of its proper divisors (1).

4212412129 is an equidigital number, since it uses as much as digits as its factorization.

4212412129 is an odious number, because the sum of its binary digits is odd.

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

The square root of 4212412129 is about 64903.0979923147. The cubic root of 4212412129 is about 1615.0164547011.

The spelling of 4212412129 in words is "four billion, two hundred twelve million, four hundred twelve thousand, one hundred twenty-nine".