Search a number
-
+
11311331322324 = 22311235322068479
BaseRepresentation
bin1010010010011001111111…
…1000101010100111010100
31111001100112010110112002010
42210212133320222213110
52440311101304303244
640020204234144220
72245134222565065
oct244463770524724
944040463415063
1011311331322324
113671121711400
121328265b82070
136408669c3bc7
142b168559256c
15149378a51eb9
hexa499fe2a9d4

11311331322324 has 72 divisors (see below), whose sum is σ = 29092788910080. Its totient is φ = 3417965872640.

The previous prime is 11311331322289. The next prime is 11311331322337. The reversal of 11311331322324 is 42322313311311.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11311331322291 and 11311331322300.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10521684 + ... + 11546795.

It is an arithmetic number, because the mean of its divisors is an integer number (404066512640).

Almost surely, 211311331322324 is an apocalyptic number.

It is an amenable number.

11311331322324 is an abundant number, since it is smaller than the sum of its proper divisors (17781457587756).

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

11311331322324 is a wasteful number, since it uses less digits than its factorization.

11311331322324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22068861 (or 22068848 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 11311331322324 its reverse (42322313311311), we get a palindrome (53633644633635).

The spelling of 11311331322324 in words is "eleven trillion, three hundred eleven billion, three hundred thirty-one million, three hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 353 363 484 706 726 1059 1412 1452 2118 3883 4236 7766 11649 15532 23298 42713 46596 85426 128139 170852 256278 512556 22068479 44136958 66205437 88273916 132410874 242753269 264821748 485506538 728259807 971013076 1456519614 2670285959 2913039228 5340571918 7790173087 8010857877 10681143836 15580346174 16021715754 23370519261 31160692348 32043431508 46741038522 85691903957 93482077044 171383807914 257075711871 342767615828 514151423742 942610943527 1028302847484 1885221887054 2827832830581 3770443774108 5655665661162 11311331322324