Search a number
-
+
223021131029 is a prime number
BaseRepresentation
bin1100111110110100011…
…0000110010100010101
3210022122201121022101222
43033231012012110111
512123221402143104
6250242100500125
722053446223044
oct3175506062425
9708581538358
10223021131029
1186645683724
12372813aa645
13180528994b8
14ab1971055b
155c0455a1be
hex33ed186515

223021131029 has 2 divisors, whose sum is σ = 223021131030. Its totient is φ = 223021131028.

The previous prime is 223021131019. The next prime is 223021131043. The reversal of 223021131029 is 920131120322.

223021131029 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., 142479826225 + 80541304804 = 377465^2 + 283798^2 .

It is a cyclic number.

It is not a de Polignac number, because 223021131029 - 236 = 154301654293 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 223021130989 and 223021131007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223021131019) 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, 111510565514 + 111510565515.

It is an arithmetic number, because the mean of its divisors is an integer number (111510565515).

Almost surely, 2223021131029 is an apocalyptic number.

It is an amenable number.

223021131029 is a deficient number, since it is larger than the sum of its proper divisors (1).

223021131029 is an equidigital number, since it uses as much as digits as its factorization.

223021131029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 26.

The spelling of 223021131029 in words is "two hundred twenty-three billion, twenty-one million, one hundred thirty-one thousand, twenty-nine".