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123201313 = 2292332309
BaseRepresentation
bin1110101011111…
…10011100100001
322120211021102121
413111332130201
5223014420223
620120344241
73024123334
oct725763441
9276737377
10123201313
11635a8a74
1235315081
131c6a80b1
141251061b
15ac3915d
hex757e721

123201313 has 8 divisors (see below), whose sum is σ = 124324200. Its totient is φ = 122083968.

The previous prime is 123201307. The next prime is 123201341. The reversal of 123201313 is 313102321.

It can be written as a sum of positive squares in 4 ways, for example, as 48344209 + 74857104 = 6953^2 + 8652^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 123201313 - 221 = 121104161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123201343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52203 + ... + 54511.

It is an arithmetic number, because the mean of its divisors is an integer number (15540525).

Almost surely, 2123201313 is an apocalyptic number.

It is an amenable number.

123201313 is a deficient number, since it is larger than the sum of its proper divisors (1122887).

123201313 is a wasteful number, since it uses less digits than its factorization.

123201313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2771.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 123201313 is about 11099.6086867961. The cubic root of 123201313 is about 497.5901546169.

Adding to 123201313 its reverse (313102321), we get a palindrome (436303634).

The spelling of 123201313 in words is "one hundred twenty-three million, two hundred one thousand, three hundred thirteen".