Search a number
-
+
1230123029 is a prime number
BaseRepresentation
bin100100101010010…
…0011000000010101
310011201200201120012
41021110203000111
510004402414104
6322021450005
742324605342
oct11124430025
93151621505
101230123029
11581410703
122a3b70905
13167b10465
14b95317c9
1572edad6e
hex49523015

1230123029 has 2 divisors, whose sum is σ = 1230123030. Its totient is φ = 1230123028.

The previous prime is 1230123019. The next prime is 1230123031. The reversal of 1230123029 is 9203210321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1228502500 + 1620529 = 35050^2 + 1273^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1230123029 is a prime.

It is a super-2 number, since 2×12301230292 = 3026405332952269682, which contains 22 as substring.

Together with 1230123031, 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 = 1230122995 and 1230123013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1230123019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 615061514 + 615061515.

It is an arithmetic number, because the mean of its divisors is an integer number (615061515).

Almost surely, 21230123029 is an apocalyptic number.

It is an amenable number.

1230123029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1230123029 is an equidigital number, since it uses as much as digits as its factorization.

1230123029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 1230123029 is about 35073.1097708772. The cubic root of 1230123029 is about 1071.4769916293.

The spelling of 1230123029 in words is "one billion, two hundred thirty million, one hundred twenty-three thousand, twenty-nine".