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1242123829 is a prime number
BaseRepresentation
bin100101000001001…
…0100111000110101
310012120021102120021
41022002110320311
510020440430304
6323131005141
742531610162
oct11202247065
93176242507
101242123829
11588168021
122a7b997b1
1316a45291b
14bad77069
15740aba54
hex4a094e35

1242123829 has 2 divisors, whose sum is σ = 1242123830. Its totient is φ = 1242123828.

The previous prime is 1242123811. The next prime is 1242123833. The reversal of 1242123829 is 9283212421.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1240659729 + 1464100 = 35223^2 + 1210^2 .

It is a cyclic number.

It is not a de Polignac number, because 1242123829 - 215 = 1242091061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1242123794 and 1242123803.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1242123859) 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, 621061914 + 621061915.

It is an arithmetic number, because the mean of its divisors is an integer number (621061915).

Almost surely, 21242123829 is an apocalyptic number.

It is an amenable number.

1242123829 is a deficient number, since it is larger than the sum of its proper divisors (1).

1242123829 is an equidigital number, since it uses as much as digits as its factorization.

1242123829 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 13824, while the sum is 34.

The square root of 1242123829 is about 35243.7771670404. Note that the first 3 decimals coincide. The cubic root of 1242123829 is about 1074.9500835665.

The spelling of 1242123829 in words is "one billion, two hundred forty-two million, one hundred twenty-three thousand, eight hundred twenty-nine".