Search a number
-
+
31132333212224 = 262916773886429
BaseRepresentation
bin1110001010000100011111…
…01010011000001001000000
311002020012222211101220001112
413011002033222120021000
513040033004300242344
6150113555121422452
76362144145031466
oct705021752301100
9132205884356045
1031132333212224
119a1316a530a42
1235a97a349aa28
13144a9c6ab285a
14798b54ad4836
1538ec54135c9e
hex1c508fa98240

31132333212224 has 28 divisors (see below), whose sum is σ = 63908507298300. Its totient is φ = 15029402239488.

The previous prime is 31132333212223. The next prime is 31132333212287. The reversal of 31132333212224 is 42221233323113.

It can be written as a sum of positive squares in 2 ways, for example, as 11588577640000 + 19543755572224 = 3404200^2 + 4420832^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (31132333212223) 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 3 ways as a sum of consecutive naturals, for example, 8386941359 + ... + 8386945070.

It is an arithmetic number, because the mean of its divisors is an integer number (2282446689225).

Almost surely, 231132333212224 is an apocalyptic number.

It is an amenable number.

31132333212224 is an abundant number, since it is smaller than the sum of its proper divisors (32776174086076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31132333212224 is a wasteful number, since it uses less digits than its factorization.

31132333212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16773886470 (or 16773886460 counting only the distinct ones).

The product of its digits is 31104, while the sum is 32.

Adding to 31132333212224 its reverse (42221233323113), we get a palindrome (73353566535337).

The spelling of 31132333212224 in words is "thirty-one trillion, one hundred thirty-two billion, three hundred thirty-three million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 928 1856 16773886429 33547772858 67095545716 134191091432 268382182864 486442706441 536764365728 972885412882 1073528731456 1945770825764 3891541651528 7783083303056 15566166606112 31132333212224