Search a number
-
+
313321130433 = 32347873711483
BaseRepresentation
bin1001000111100110110…
…01010000100111000001
31002221201212222120100100
410203303121100213001
520113140202133213
6355534315113013
731431250444323
oct4436331204701
91087655876310
10313321130433
11110973678803
1250882742769
13237138b91cc
14112443c1613
15823bde5773
hex48f36509c1

313321130433 has 24 divisors (see below), whose sum is σ = 453970696608. Its totient is φ = 208236817152.

The previous prime is 313321130417. The next prime is 313321130449. The reversal of 313321130433 is 334031123313.

313321130433 is a `hidden beast` number, since 3 + 1 + 3 + 321 + 1 + 304 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (313321130417) and next prime (313321130449).

It is not a de Polignac number, because 313321130433 - 24 = 313321130417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313321130397 and 313321130406.

It is not an unprimeable number, because it can be changed into a prime (313321130453) 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 23 ways as a sum of consecutive naturals, for example, 27279910 + ... + 27291392.

It is an arithmetic number, because the mean of its divisors is an integer number (18915445692).

Almost surely, 2313321130433 is an apocalyptic number.

It is an amenable number.

313321130433 is a deficient number, since it is larger than the sum of its proper divisors (140649566175).

313321130433 is a wasteful number, since it uses less digits than its factorization.

313321130433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20573 (or 20570 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 313321130433 its reverse (334031123313), we get a palindrome (647352253746).

The spelling of 313321130433 in words is "three hundred thirteen billion, three hundred twenty-one million, one hundred thirty thousand, four hundred thirty-three".

Divisors: 1 3 9 347 1041 3123 8737 11483 26211 34449 78633 103347 3031739 3984601 9095217 11953803 27285651 35861409 100326971 300980913 902942739 34813458937 104440376811 313321130433