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1223151313 is a prime number
BaseRepresentation
bin100100011100111…
…1100111011010001
310011020120112011111
41020321330323101
510001111320223
6321212213321
742211420546
oct11071747321
93136515144
101223151313
1157848975a
122a176a241
1316653c097
14b8638bcd
15725b030d
hex48e7ced1

1223151313 has 2 divisors, whose sum is σ = 1223151314. Its totient is φ = 1223151312.

The previous prime is 1223151301. The next prime is 1223151317. The reversal of 1223151313 is 3131513221.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 868657729 + 354493584 = 29473^2 + 18828^2 .

It is a cyclic number.

It is not a de Polignac number, because 1223151313 - 221 = 1221054161 is a prime.

It is not a weakly prime, because it can be changed into another prime (1223151317) 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, 611575656 + 611575657.

It is an arithmetic number, because the mean of its divisors is an integer number (611575657).

Almost surely, 21223151313 is an apocalyptic number.

It is an amenable number.

1223151313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1223151313 is an equidigital number, since it uses as much as digits as its factorization.

1223151313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 540, while the sum is 22.

The square root of 1223151313 is about 34973.5802142131. The cubic root of 1223151313 is about 1069.4489587044.

Adding to 1223151313 its reverse (3131513221), we get a palindrome (4354664534).

The spelling of 1223151313 in words is "one billion, two hundred twenty-three million, one hundred fifty-one thousand, three hundred thirteen".