Search a number
-
+
10032145531231 = 103148165766017
BaseRepresentation
bin1001000111111100101001…
…1110001000000101011111
31022112001201110201102202011
42101333022132020011133
52303331313223444411
633200412023212051
72053540630013245
oct221771236100537
938461643642664
1010032145531231
11321867768445a
1211603692a7027
1357a047b90815
142697b64b6795
15125e5c0c9c21
hex91fca78815f

10032145531231 has 8 divisors (see below), whose sum is σ = 10136384822304. Its totient is φ = 9928037775360.

The previous prime is 10032145531169. The next prime is 10032145531319. The reversal of 10032145531231 is 13213554123001.

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 10032145531231 - 213 = 10032145523039 is a prime.

It is a super-2 number, since 2×100321455312312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10032145531193 and 10032145531202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032145532231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32730466 + ... + 33035551.

It is an arithmetic number, because the mean of its divisors is an integer number (1267048102788).

Almost surely, 210032145531231 is an apocalyptic number.

10032145531231 is a deficient number, since it is larger than the sum of its proper divisors (104239291073).

10032145531231 is a wasteful number, since it uses less digits than its factorization.

10032145531231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65767601.

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 10032145531231 its reverse (13213554123001), we get a palindrome (23245699654232).

The spelling of 10032145531231 in words is "ten trillion, thirty-two billion, one hundred forty-five million, five hundred thirty-one thousand, two hundred thirty-one".

Divisors: 1 103 1481 152543 65766017 6773899751 97399471177 10032145531231