Search a number
-
+
31132031132321 = 725861108402589
BaseRepresentation
bin1110001010000011111011…
…01010000010001010100001
311002020012012202222122022222
413011001331222002022201
513040031344432213241
6150113505131040425
76362133516300200
oct705017552021241
9132205182878288
1031132031132321
119a13024a66929
1235a971a2a0115
13144a979337152
14798b2693d237
1538ec37865a4b
hex1c507da822a1

31132031132321 has 12 divisors (see below), whose sum is σ = 36220991007060. Its totient is φ = 26680044958560.

The previous prime is 31132031132317. The next prime is 31132031132351. The reversal of 31132031132321 is 12323113023113.

It can be written as a sum of positive squares in 2 ways, for example, as 18136006132321 + 12996025000000 = 4258639^2 + 3605000^2 .

It is not a de Polignac number, because 31132031132321 - 22 = 31132031132317 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31132031132351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53914106 + ... + 54488483.

It is an arithmetic number, because the mean of its divisors is an integer number (3018415917255).

Almost surely, 231132031132321 is an apocalyptic number.

It is an amenable number.

31132031132321 is a deficient number, since it is larger than the sum of its proper divisors (5088959874739).

31132031132321 is a wasteful number, since it uses less digits than its factorization.

31132031132321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108408464 (or 108408457 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 31132031132321 its reverse (12323113023113), we get a palindrome (43455144155434).

The spelling of 31132031132321 in words is "thirty-one trillion, one hundred thirty-two billion, thirty-one million, one hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 7 49 5861 41027 287189 108402589 758818123 5311726861 635347574129 4447433018903 31132031132321