Search a number
-
+
32023200120201 = 324297978278637
BaseRepresentation
bin1110100011111111110110…
…11101111011110110001001
311012101101110212122211100100
413101333323131323312021
513144132003212321301
6152035131031200013
76513412515561543
oct721777335736611
9135341425584310
1032023200120201
11a226a656965a4
123712388b16009
1314b3a0c35c6a4
147c9d0713c693
153a7ee4946286
hex1d1ffb77bd89

32023200120201 has 12 divisors (see below), whose sum is σ = 46255846716612. Its totient is φ = 21348747829536.

The previous prime is 32023200120151. The next prime is 32023200120269. The reversal of 32023200120201 is 10202100232023.

32023200120201 is a `hidden beast` number, since 3 + 20 + 2 + 320 + 0 + 120 + 201 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3122469236601 + 28900730883600 = 1767051^2 + 5375940^2 .

It is not a de Polignac number, because 32023200120201 - 26 = 32023200120137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (32023200120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271146 + ... + 8007491.

It is an arithmetic number, because the mean of its divisors is an integer number (3854653893051).

Almost surely, 232023200120201 is an apocalyptic number.

It is an amenable number.

32023200120201 is a deficient number, since it is larger than the sum of its proper divisors (14232646596411).

32023200120201 is a wasteful number, since it uses less digits than its factorization.

32023200120201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8708440 (or 8708437 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 32023200120201 its reverse (10202100232023), we get a palindrome (42225300352224).

The spelling of 32023200120201 in words is "thirty-two trillion, twenty-three billion, two hundred million, one hundred twenty thousand, two hundred one".

Divisors: 1 3 9 429797 1289391 3868173 8278637 24835911 74507733 3558133346689 10674400040067 32023200120201