Search a number
-
+
1124128161029 is a prime number
BaseRepresentation
bin10000010110111011010…
…000100111110100000101
310222110120102110100022102
4100112323100213310011
5121404203302123104
62220230051441445
7144133641466226
oct20267320476405
93873512410272
101124128161029
113a381604a545
12161a442b6285
138200a7c8033
143c59db4524d
151e393d5aa1e
hex105bb427d05

1124128161029 has 2 divisors, whose sum is σ = 1124128161030. Its totient is φ = 1124128161028.

The previous prime is 1124128161011. The next prime is 1124128161043. The reversal of 1124128161029 is 9201618214211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 899087032804 + 225041128225 = 948202^2 + 474385^2 .

It is a cyclic number.

It is not a de Polignac number, because 1124128161029 - 220 = 1124127112453 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1124128160983 and 1124128161001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1124128161829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 562064080514 + 562064080515.

It is an arithmetic number, because the mean of its divisors is an integer number (562064080515).

Almost surely, 21124128161029 is an apocalyptic number.

It is an amenable number.

1124128161029 is a deficient number, since it is larger than the sum of its proper divisors (1).

1124128161029 is an equidigital number, since it uses as much as digits as its factorization.

1124128161029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 38.

The spelling of 1124128161029 in words is "one trillion, one hundred twenty-four billion, one hundred twenty-eight million, one hundred sixty-one thousand, twenty-nine".