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1323112401 = 3613149937
BaseRepresentation
bin100111011011101…
…0001011111010001
310102012200002000000
41032313101133101
510202204044101
6335142520213
744534161362
oct11667213721
93365602000
101323112401
11619953a26
1230b136069
1318116ac60
14c7a19b69
157b258486
hex4edd17d1

1323112401 has 56 divisors (see below), whose sum is σ = 2152991400. Its totient is φ = 807895296.

The previous prime is 1323112393. The next prime is 1323112409. The reversal of 1323112401 is 1042113231.

It is an interprime number because it is at equal distance from previous prime (1323112393) and next prime (1323112409).

It can be written as a sum of positive squares in 4 ways, for example, as 113742225 + 1209370176 = 10665^2 + 34776^2 .

It is not a de Polignac number, because 1323112401 - 23 = 1323112393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1323112409) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1411605 + ... + 1412541.

It is an arithmetic number, because the mean of its divisors is an integer number (38446275).

Almost surely, 21323112401 is an apocalyptic number.

It is an amenable number.

1323112401 is a deficient number, since it is larger than the sum of its proper divisors (829878999).

1323112401 is an equidigital number, since it uses as much as digits as its factorization.

1323112401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1323112401 is about 36374.6120391682. The cubic root of 1323112401 is about 1097.8228012891.

Adding to 1323112401 its reverse (1042113231), we get a palindrome (2365225632).

The spelling of 1323112401 in words is "one billion, three hundred twenty-three million, one hundred twelve thousand, four hundred one".

Divisors: 1 3 9 13 27 39 81 117 149 243 351 447 729 937 1053 1341 1937 2811 3159 4023 5811 8433 9477 12069 12181 17433 25299 36207 36543 52299 75897 108621 109629 139613 156897 227691 328887 418839 470691 683073 986661 1256517 1412073 1814969 2959983 3769551 5444907 8879949 11308653 16334721 33925959 49004163 101777877 147012489 441037467 1323112401