Search a number
-
+
31330233203313 = 3113741336208441
BaseRepresentation
bin1110001111110101000110…
…11010111011101001110001
311002221010210211011001220010
413013322203122323221301
513101303304200001223
6150344524353205133
76412351246143522
oct707724332735161
9132833724131803
1031330233203313
119a8a093958390
1236200138607a9
13146357500cab5
147a4569d26849
15394e88040393
hex1c7ea36bba71

31330233203313 has 32 divisors (see below), whose sum is σ = 46814235391872. Its totient is φ = 18470357337600.

The previous prime is 31330233203179. The next prime is 31330233203329.

It is a happy number.

31330233203313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31330233203313 - 28 = 31330233203057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31330233203413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1942173 + ... + 8150613.

It is an arithmetic number, because the mean of its divisors is an integer number (1462944855996).

Almost surely, 231330233203313 is an apocalyptic number.

31330233203313 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31330233203313 is a deficient number, since it is larger than the sum of its proper divisors (15484002188559).

31330233203313 is a wasteful number, since it uses less digits than its factorization.

31330233203313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6212625.

The product of its (nonzero) digits is 26244, while the sum is 30.

It can be divided in two parts, 3133023 and 3203313, that added together give a palindrome (6336336).

The spelling of 31330233203313 in words is "thirty-one trillion, three hundred thirty billion, two hundred thirty-three million, two hundred three thousand, three hundred thirteen".

Divisors: 1 3 11 33 37 111 407 1221 4133 12399 45463 136389 152921 458763 1682131 5046393 6208441 18625323 68292851 204878553 229712317 689136951 2526835487 7580506461 25659486653 76978459959 282254353183 846763059549 949401006161 2848203018483 10443411067771 31330233203313