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223141340321 is a prime number
BaseRepresentation
bin1100111111010001000…
…0101010010010100001
3210022222002210120112222
43033310100222102201
512123443140342241
6250302033200425
722056436045334
oct3176420522241
9708862716488
10223141340321
11866a7518749
12372b5700115
1318071767763
14ab2b68261b
155c0eda2a4b
hex33f442a4a1

223141340321 has 2 divisors, whose sum is σ = 223141340322. Its totient is φ = 223141340320.

The previous prime is 223141340291. The next prime is 223141340327. The reversal of 223141340321 is 123043141322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148503100321 + 74638240000 = 385361^2 + 273200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-223141340321 is a prime.

It is a super-3 number, since 3×2231413403213 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (223141340327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111570670160 + 111570670161.

It is an arithmetic number, because the mean of its divisors is an integer number (111570670161).

Almost surely, 2223141340321 is an apocalyptic number.

It is an amenable number.

223141340321 is a deficient number, since it is larger than the sum of its proper divisors (1).

223141340321 is an equidigital number, since it uses as much as digits as its factorization.

223141340321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 223141340321 its reverse (123043141322), we get a palindrome (346184481643).

The spelling of 223141340321 in words is "two hundred twenty-three billion, one hundred forty-one million, three hundred forty thousand, three hundred twenty-one".