Search a number
-
+
30846312221 is a prime number
BaseRepresentation
bin11100101110100101…
…010101111100011101
32221121201210000111012
4130232211111330131
51001133123442341
622100503305005
72141254220264
oct345645257435
987551700435
1030846312221
1112099a36a1a
125b8a44b165
132ba781196a
1416c89cb5db
15c0809d0eb
hex72e955f1d

30846312221 has 2 divisors, whose sum is σ = 30846312222. Its totient is φ = 30846312220.

The previous prime is 30846312197. The next prime is 30846312227. The reversal of 30846312221 is 12221364803.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16560086596 + 14286225625 = 128686^2 + 119525^2 .

It is a cyclic number.

It is not a de Polignac number, because 30846312221 - 218 = 30846050077 is a prime.

It is a super-3 number, since 3×308463122213 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30846312227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15423156110 + 15423156111.

It is an arithmetic number, because the mean of its divisors is an integer number (15423156111).

Almost surely, 230846312221 is an apocalyptic number.

It is an amenable number.

30846312221 is a deficient number, since it is larger than the sum of its proper divisors (1).

30846312221 is an equidigital number, since it uses as much as digits as its factorization.

30846312221 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 32.

The spelling of 30846312221 in words is "thirty billion, eight hundred forty-six million, three hundred twelve thousand, two hundred twenty-one".