Search a number
-
+
223130322201029 is a prime number
BaseRepresentation
bin110010101110111110010011…
…100101111110100111000101
31002021001001100210120121000112
4302232332103211332213011
5213221231344440413104
62110320353244122405
764666430251124465
oct6256762345764705
91067031323517015
10223130322201029
1165107046983631
1221038199536405
139767139949319
143d157cad55ba5
151abe1e992486e
hexcaef9397e9c5

223130322201029 has 2 divisors, whose sum is σ = 223130322201030. Its totient is φ = 223130322201028.

The previous prime is 223130322200993. The next prime is 223130322201107. The reversal of 223130322201029 is 920102223031322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 212072522544100 + 11057799656929 = 14562710^2 + 3325327^2 .

It is a cyclic number.

It is not a de Polignac number, because 223130322201029 - 224 = 223130305423813 is a prime.

It is a super-3 number, since 3×2231303222010293 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223130322200986 and 223130322201004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (223130322201529) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111565161100514 + 111565161100515.

It is an arithmetic number, because the mean of its divisors is an integer number (111565161100515).

Almost surely, 2223130322201029 is an apocalyptic number.

It is an amenable number.

223130322201029 is a deficient number, since it is larger than the sum of its proper divisors (1).

223130322201029 is an equidigital number, since it uses as much as digits as its factorization.

223130322201029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 223130322201029 in words is "two hundred twenty-three trillion, one hundred thirty billion, three hundred twenty-two million, two hundred one thousand, twenty-nine".