Search a number
-
+
31220023133 = 1317373818029
BaseRepresentation
bin11101000100110110…
…111011111101011101
32222120202222111111002
4131010312323331131
51002414311220013
622201533240045
72153442550415
oct350466737535
988522874432
1031220023133
1112270986512
126073633025
132c3707a390
1417224ab645
15c2acbc358
hex744dbbf5d

31220023133 has 16 divisors (see below), whose sum is σ = 36561455280. Its totient is φ = 26390209536.

The previous prime is 31220023103. The next prime is 31220023141. The reversal of 31220023133 is 33132002213.

It can be written as a sum of positive squares in 8 ways, for example, as 897721444 + 30322301689 = 29962^2 + 174133^2 .

It is a cyclic number.

It is not a de Polignac number, because 31220023133 - 218 = 31219760989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31220023103) 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 15 ways as a sum of consecutive naturals, for example, 1900838 + ... + 1917191.

It is an arithmetic number, because the mean of its divisors is an integer number (2285090955).

Almost surely, 231220023133 is an apocalyptic number.

It is an amenable number.

31220023133 is a deficient number, since it is larger than the sum of its proper divisors (5341432147).

31220023133 is a wasteful number, since it uses less digits than its factorization.

31220023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3818096.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 31220023133 its reverse (33132002213), we get a palindrome (64352025346).

The spelling of 31220023133 in words is "thirty-one billion, two hundred twenty million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 13 17 37 221 481 629 8177 3818029 49634377 64906493 141267073 843784409 1836471949 2401540241 31220023133