Search a number
-
+
11031311332000 = 25534364135531
BaseRepresentation
bin1010000010000110110101…
…1001001011001010100000
31110001120202001110011000101
42200201231121023022200
52421214111200111000
635243414154032144
72215662115130461
oct240415531131240
943046661404011
1011031311332000
1135733977300a3
1212a1b37a18654
1362032c39103b
142a1cbdc10d68
15141e3a4b0e6a
hexa086d64b2a0

11031311332000 has 96 divisors (see below), whose sum is σ = 27734256373824. Its totient is φ = 4309907616000.

The previous prime is 11031311331967. The next prime is 11031311332003. The reversal of 11031311332000 is 23311313011.

It is a super-2 number, since 2×110313113320002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11031311332003) 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 15 ways as a sum of consecutive naturals, for example, 31895766 + ... + 32239765.

It is an arithmetic number, because the mean of its divisors is an integer number (288898503894).

Almost surely, 211031311332000 is an apocalyptic number.

11031311332000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11031311332000 is an abundant number, since it is smaller than the sum of its proper divisors (16702945041824).

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

11031311332000 is an equidigital number, since it uses as much as digits as its factorization.

11031311332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64135599 (or 64135581 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11031311332000 its reverse (23311313011), we get a palindrome (11054622645011).

The spelling of 11031311332000 in words is "eleven trillion, thirty-one billion, three hundred eleven million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 688 800 860 1000 1075 1376 1720 2000 2150 3440 4000 4300 5375 6880 8600 10750 17200 21500 34400 43000 86000 172000 64135531 128271062 256542124 320677655 513084248 641355310 1026168496 1282710620 1603388275 2052336992 2565421240 2757827833 3206776550 5130842480 5515655666 6413553100 8016941375 10261684960 11031311332 12827106200 13789139165 16033882750 22062622664 25654212400 27578278330 32067765500 44125245328 51308424800 55156556660 64135531000 68945695825 88250490656 110313113320 128271062000 137891391650 220626226640 256542124000 275782783300 344728479125 441252453280 551565566600 689456958250 1103131133200 1378913916500 2206262266400 2757827833000 5515655666000 11031311332000