Search a number
-
+
11332001000000 = 265611332001
BaseRepresentation
bin1010010011100110111111…
…1001001110101001000000
31111010022212122002221101202
42210321233321032221000
52441130414224000000
640033503245120332
72246465356133042
oct244715771165100
944108778087352
1011332001000000
11367996915a14a
1213302742590a8
136427ac052305
142b268679ba92
15149b884a0dd5
hexa4e6fe4ea40

11332001000000 has 98 divisors (see below), whose sum is σ = 28108317044874. Its totient is φ = 4532800000000.

The previous prime is 11332000999987. The next prime is 11332001000039. The reversal of 11332001000000 is 10023311.

11332001000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 11309553769024 + 22447230976 = 3362968^2 + 149824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 4666001 + ... + 6666000.

Almost surely, 211332001000000 is an apocalyptic number.

11332001000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332001000000 is an abundant number, since it is smaller than the sum of its proper divisors (16776316044874).

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

11332001000000 is an frugal number, since it uses more digits than its factorization.

11332001000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11332043 (or 11332008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 11332001000000 its reverse (10023311), we get a palindrome (11332011023311).

The spelling of 11332001000000 in words is "eleven trillion, three hundred thirty-two billion, one million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3125 4000 5000 6250 8000 10000 12500 15625 20000 25000 31250 40000 50000 62500 100000 125000 200000 250000 500000 1000000 11332001 22664002 45328004 56660005 90656008 113320010 181312016 226640020 283300025 362624032 453280040 566600050 725248064 906560080 1133200100 1416500125 1813120160 2266400200 2833000250 3626240320 4532800400 5666000500 7082500625 9065600800 11332001000 14165001250 18131201600 22664002000 28330002500 35412503125 45328004000 56660005000 70825006250 90656008000 113320010000 141650012500 177062515625 226640020000 283300025000 354125031250 453280040000 566600050000 708250062500 1133200100000 1416500125000 2266400200000 2833000250000 5666000500000 11332001000000