Search a number
-
+
123531201 = 3215498861
BaseRepresentation
bin1110101110011…
…10111111000001
322121110000221200
413113032333001
5223110444301
620131411413
73026666163
oct727167701
9277400850
10123531201
1163803902
1235453b69
131c7922b1
1412598933
15aca1c86
hex75cefc1

123531201 has 12 divisors (see below), whose sum is σ = 178569300. Its totient is φ = 82291680.

The previous prime is 123531173. The next prime is 123531203. The reversal of 123531201 is 102135321.

It can be written as a sum of positive squares in 2 ways, for example, as 92160000 + 31371201 = 9600^2 + 5601^2 .

It is not a de Polignac number, because 123531201 - 215 = 123498433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (123531203) 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 11 ways as a sum of consecutive naturals, for example, 9511 + ... + 18371.

It is an arithmetic number, because the mean of its divisors is an integer number (14880775).

Almost surely, 2123531201 is an apocalyptic number.

It is an amenable number.

123531201 is a deficient number, since it is larger than the sum of its proper divisors (55038099).

123531201 is a wasteful number, since it uses less digits than its factorization.

123531201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10416 (or 10413 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 123531201 is about 11114.4590961504. The cubic root of 123531201 is about 498.0338802130.

Adding to 123531201 its reverse (102135321), we get a palindrome (225666522).

The spelling of 123531201 in words is "one hundred twenty-three million, five hundred thirty-one thousand, two hundred one".

Divisors: 1 3 9 1549 4647 8861 13941 26583 79749 13725689 41177067 123531201