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2413131221 is a prime number
BaseRepresentation
bin1000111111010101…
…0111010111010101
320020011201202201102
42033311113113111
514420230144341
61035241435445
7113541163664
oct21765272725
96204652642
102413131221
111029171226
1257419bb85
132c5c357c7
1418c6baddb
15e1cbbc9b
hex8fd575d5

2413131221 has 2 divisors, whose sum is σ = 2413131222. Its totient is φ = 2413131220.

The previous prime is 2413131187. The next prime is 2413131229. The reversal of 2413131221 is 1221313142.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2071251121 + 341880100 = 45511^2 + 18490^2 .

It is a cyclic number.

It is not a de Polignac number, because 2413131221 - 210 = 2413130197 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 = 2413131193 and 2413131202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2413131229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1206565610 + 1206565611.

It is an arithmetic number, because the mean of its divisors is an integer number (1206565611).

Almost surely, 22413131221 is an apocalyptic number.

It is an amenable number.

2413131221 is a deficient number, since it is larger than the sum of its proper divisors (1).

2413131221 is an equidigital number, since it uses as much as digits as its factorization.

2413131221 is an evil number, because the sum of its binary digits is even.

The product of its digits is 288, while the sum is 20.

The square root of 2413131221 is about 49123.6320013087. The cubic root of 2413131221 is about 1341.3032581291.

Adding to 2413131221 its reverse (1221313142), we get a palindrome (3634444363).

The spelling of 2413131221 in words is "two billion, four hundred thirteen million, one hundred thirty-one thousand, two hundred twenty-one".