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1303223013 = 3417393001
BaseRepresentation
bin100110110101101…
…1001101011100101
310100211020120220000
41031223121223211
510132111114023
6333152331513
744203133001
oct11553315345
93324216800
101303223013
116096a9814
12304543b99
13179cc5ca1
14c511d701
157962a243
hex4dad9ae5

1303223013 has 20 divisors (see below), whose sum is σ = 1958064108. Its totient is φ = 863784000.

The previous prime is 1303222961. The next prime is 1303223021. The reversal of 1303223013 is 3103223031.

It can be written as a sum of positive squares in 2 ways, for example, as 1149413409 + 153809604 = 33903^2 + 12402^2 .

It is a de Polignac number, because none of the positive numbers 2k-1303223013 is a prime.

It is a super-2 number, since 2×13032230132 = 3396780443225596338, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303223113) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32488 + ... + 60513.

Almost surely, 21303223013 is an apocalyptic number.

It is an amenable number.

1303223013 is a deficient number, since it is larger than the sum of its proper divisors (654841095).

1303223013 is an equidigital number, since it uses as much as digits as its factorization.

1303223013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93186 (or 93177 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1303223013 is about 36100.1802350071. The cubic root of 1303223013 is about 1092.2940806193.

Adding to 1303223013 its sum of digits (18), we get a palindrome (1303223031).

Adding to 1303223013 its reverse (3103223031), we get a palindrome (4406446044).

The spelling of 1303223013 in words is "one billion, three hundred three million, two hundred twenty-three thousand, thirteen".

Divisors: 1 3 9 27 81 173 519 1557 4671 14013 93001 279003 837009 2511027 7533081 16089173 48267519 144802557 434407671 1303223013