Search a number
-
+
123013312201 = 1331330231829
BaseRepresentation
bin111001010010000101…
…0100010111011001001
3102202112000020201202001
41302210022202323021
54003412401442301
6132302254111001
711613245621113
oct1624412427311
9382460221661
10123013312201
114819589818a
121ba10aab461
13b7a557cc40
145d4d6163b3
1532ee7c8c01
hex1ca42a2ec9

123013312201 has 8 divisors (see below), whose sum is σ = 132899124680. Its totient is φ = 113187964032.

The previous prime is 123013312199. The next prime is 123013312241. The reversal of 123013312201 is 102213310321.

It can be written as a sum of positive squares in 4 ways, for example, as 13914561600 + 109098750601 = 117960^2 + 330301^2 .

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

It is not a de Polignac number, because 123013312201 - 21 = 123013312199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (123013312241) 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 in 7 ways as a sum of consecutive naturals, for example, 15111846 + ... + 15119983.

It is an arithmetic number, because the mean of its divisors is an integer number (16612390585).

Almost surely, 2123013312201 is an apocalyptic number.

It is an amenable number.

123013312201 is a deficient number, since it is larger than the sum of its proper divisors (9885812479).

123013312201 is a wasteful number, since it uses less digits than its factorization.

123013312201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30232155.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 123013312201 its reverse (102213310321), we get a palindrome (225226622522).

The spelling of 123013312201 in words is "one hundred twenty-three billion, thirteen million, three hundred twelve thousand, two hundred one".

Divisors: 1 13 313 4069 30231829 393013777 9462562477 123013312201