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1223142401 = 1331732749
BaseRepresentation
bin100100011100111…
…1010110000000001
310011020120001221102
41020321322300001
510001111024101
6321212104145
742211352555
oct11071726001
93136501842
101223142401
11578482a98
122a1765055
13166538000
14b8635865
15725ac86b
hex48e7ac01

1223142401 has 16 divisors (see below), whose sum is σ = 1403010000. Its totient is φ = 1062607104.

The previous prime is 1223142379. The next prime is 1223142409. The reversal of 1223142401 is 1042413221.

It can be written as a sum of positive squares in 8 ways, for example, as 819333376 + 403809025 = 28624^2 + 20095^2 .

It is not a de Polignac number, because 1223142401 - 218 = 1222880257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1223142409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20975 + ... + 53723.

It is an arithmetic number, because the mean of its divisors is an integer number (87688125).

Almost surely, 21223142401 is an apocalyptic number.

It is an amenable number.

1223142401 is a deficient number, since it is larger than the sum of its proper divisors (179867599).

1223142401 is an equidigital number, since it uses as much as digits as its factorization.

1223142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32805 (or 32779 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1223142401 is about 34973.4528035194. The cubic root of 1223142401 is about 1069.4463613282.

Adding to 1223142401 its reverse (1042413221), we get a palindrome (2265555622).

The spelling of 1223142401 in words is "one billion, two hundred twenty-three million, one hundred forty-two thousand, four hundred one".

Divisors: 1 13 17 169 221 2197 2873 32749 37349 425737 556733 5534581 7237529 71949553 94087877 1223142401