Search a number
-
+
10031321133 = 321516173517
BaseRepresentation
bin10010101011110100…
…11101000000101101
3221220002200220122100
421111322131000231
5131021004234013
64335222005313
7503404552131
oct112572350055
927802626570
1010031321133
114288468049
121b3b576839
13c3b3358a2
146b23973c1
153da9e8473
hex255e9d02d

10031321133 has 12 divisors (see below), whose sum is σ = 14490838908. Its totient is φ = 6687015360.

The previous prime is 10031321081. The next prime is 10031321141. The reversal of 10031321133 is 33112313001.

It is a happy number.

10031321133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7799892489 + 2231428644 = 88317^2 + 47238^2 .

It is not a de Polignac number, because 10031321133 - 28 = 10031320877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031321143) 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, 99691 + ... + 173207.

It is an arithmetic number, because the mean of its divisors is an integer number (1207569909).

Almost surely, 210031321133 is an apocalyptic number.

It is an amenable number.

10031321133 is a deficient number, since it is larger than the sum of its proper divisors (4459517775).

10031321133 is a wasteful number, since it uses less digits than its factorization.

10031321133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88684 (or 88681 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10031321133 its reverse (33112313001), we get a palindrome (43143634134).

The spelling of 10031321133 in words is "ten billion, thirty-one million, three hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 9 15161 45483 73517 136449 220551 661653 1114591237 3343773711 10031321133