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313044552132 = 223132290353173
BaseRepresentation
bin1001000111000101110…
…10001100100111000100
31002221000121112221020120
410203202322030213010
520112103401132012
6355451035101540
731421351534514
oct4434272144704
91087017487216
10313044552132
111108415413a4
1250805ba18b0
132369b4cc100
1411219787844
1582229b158c
hex48e2e8c9c4

313044552132 has 72 divisors (see below), whose sum is σ = 791234224704. Its totient is φ = 96286409856.

The previous prime is 313044552071. The next prime is 313044552133. The reversal of 313044552132 is 231255440313.

It is a junction number, because it is equal to n+sod(n) for n = 313044552093 and 313044552102.

It is not an unprimeable number, because it can be changed into a prime (313044552133) 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, 5860698 + ... + 5913870.

It is an arithmetic number, because the mean of its divisors is an integer number (10989364232).

Almost surely, 2313044552132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313044552132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395617112352).

313044552132 is an abundant number, since it is smaller than the sum of its proper divisors (478189672572).

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

313044552132 is a wasteful number, since it uses less digits than its factorization.

313044552132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56109 (or 56094 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 313044552132 its reverse (231255440313), we get a palindrome (544299992445).

The spelling of 313044552132 in words is "three hundred thirteen billion, forty-four million, five hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 2028 2903 5806 8709 11612 17418 34836 37739 53173 75478 106346 113217 150956 159519 212692 226434 319038 452868 490607 638076 691249 981214 1382498 1471821 1962428 2073747 2764996 2943642 4147494 5887284 8294988 8986237 17972474 26958711 35944948 53917422 107834844 154361219 308722438 463083657 617444876 926167314 1852334628 2006695847 4013391694 6020087541 8026783388 12040175082 24080350164 26087046011 52174092022 78261138033 104348184044 156522276066 313044552132