Search a number
-
+
221223131293 is a prime number
BaseRepresentation
bin1100111000000111101…
…1010001100010011101
3210011000102100110110011
43032001323101202131
512111031110200133
6245343431243221
721661054406233
oct3160173214235
9704012313404
10221223131293
118590276592a
1236a5b219511
1317b27229a28
14a9c89d8953
155b4b7996cd
hex3381ed189d

221223131293 has 2 divisors, whose sum is σ = 221223131294. Its totient is φ = 221223131292.

The previous prime is 221223131257. The next prime is 221223131309. The reversal of 221223131293 is 392131322122.

221223131293 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 158816596324 + 62406534969 = 398518^2 + 249813^2 .

It is a cyclic number.

It is not a de Polignac number, because 221223131293 - 221 = 221221034141 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (221223131893) 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, 110611565646 + 110611565647.

It is an arithmetic number, because the mean of its divisors is an integer number (110611565647).

Almost surely, 2221223131293 is an apocalyptic number.

It is an amenable number.

221223131293 is a deficient number, since it is larger than the sum of its proper divisors (1).

221223131293 is an equidigital number, since it uses as much as digits as its factorization.

221223131293 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7776, while the sum is 31.

The spelling of 221223131293 in words is "two hundred twenty-one billion, two hundred twenty-three million, one hundred thirty-one thousand, two hundred ninety-three".