Search a number
-
+
31313340225321 = 37111313727277643
BaseRepresentation
bin1110001111010101101001…
…00001010101011100101001
311002212112012112000212120120
413013222310201111130221
513101014210044202241
6150333052214113453
76411212522202030
oct707526441253451
9132775175025516
1031313340225321
119a82a05246a50
12361889a34b889
131461ab224b42b
147a3806545717
153947e9e58666
hex1c7ab4855729

31313340225321 has 64 divisors (see below), whose sum is σ = 52464960700416. Its totient is φ = 16138107835200.

The previous prime is 31313340225289. The next prime is 31313340225383. The reversal of 31313340225321 is 12352204331313.

It is not a de Polignac number, because 31313340225321 - 25 = 31313340225289 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (31313340224321) 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 63 ways as a sum of consecutive naturals, for example, 112643926 + ... + 112921568.

It is an arithmetic number, because the mean of its divisors is an integer number (819765010944).

Almost surely, 231313340225321 is an apocalyptic number.

It is an amenable number.

31313340225321 is a deficient number, since it is larger than the sum of its proper divisors (21151620475095).

31313340225321 is a wasteful number, since it uses less digits than its factorization.

31313340225321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281522.

The product of its (nonzero) digits is 38880, while the sum is 33.

Adding to 31313340225321 its reverse (12352204331313), we get a palindrome (43665544556634).

The spelling of 31313340225321 in words is "thirty-one trillion, three hundred thirteen billion, three hundred forty million, two hundred twenty-five thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 131 231 393 917 1441 2751 3727 4323 10087 11181 26089 30261 40997 78267 122991 277643 286979 488237 832929 860937 1464711 1943501 3054073 3417659 5370607 5830503 9162219 10252977 16111821 21378511 36371233 37594249 64135533 109113699 112782747 254598631 400083563 763795893 1034775461 1200250689 2800584941 3104326383 7243428227 8401754823 11382530071 21730284681 34147590213 79677710497 135555585391 239033131491 406666756173 948889097737 1491111439301 2846667293211 4473334317903 10437780075107 31313340225321