Search a number
-
+
1312311331220 = 225389800921061
BaseRepresentation
bin10011000110001011110…
…110011100100110010100
311122110022020021212201112
4103012023312130212110
5133000103200044340
62442511214114152
7163545204160331
oct23061366344624
94573266255645
101312311331220
1146660359759a
121924024ab958
139699a8c6506
1447732689988
1524209b92065
hex1318bd9c994

1312311331220 has 48 divisors (see below), whose sum is σ = 2763414435600. Its totient is φ = 523484881920.

The previous prime is 1312311331187. The next prime is 1312311331231. The reversal of 1312311331220 is 221331132131.

It can be written as a sum of positive squares in 8 ways, for example, as 60199566736 + 1252111764484 = 245356^2 + 1118978^2 .

It is a super-2 number, since 2×13123113312202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62299490 + ... + 62320550.

It is an arithmetic number, because the mean of its divisors is an integer number (57571134075).

Almost surely, 21312311331220 is an apocalyptic number.

1312311331220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312311331220 is an abundant number, since it is smaller than the sum of its proper divisors (1451103104380).

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

1312311331220 is a wasteful number, since it uses less digits than its factorization.

1312311331220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29468 (or 29466 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 1312311331220 its reverse (221331132131), we get a palindrome (1533642463351).

The spelling of 1312311331220 in words is "one trillion, three hundred twelve billion, three hundred eleven million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 389 778 1556 1945 3890 7780 8009 16018 21061 32036 40045 42122 80090 84244 105305 160180 210610 421220 3115501 6231002 8192729 12462004 15577505 16385458 31155010 32770916 40963645 62310020 81927290 163854580 168677549 337355098 674710196 843387745 1686775490 3373550980 65615566561 131231133122 262462266244 328077832805 656155665610 1312311331220