Search a number
-
+
11231300031120 = 243251336716132027
BaseRepresentation
bin1010001101101111110110…
…1001100001001010010000
31110202200221121110200121200
42203123331221201022100
52433003200301443440
635515331001551200
72236302041046351
oct243337551411220
943680847420550
1011231300031120
113640193082824
12131484b7a5500
136361512544b0
142ab8525cdd28
15147242951c30
hexa36fda61290

11231300031120 has 480 divisors, whose sum is σ = 40775907174912. Its totient is φ = 2754026016768.

The previous prime is 11231300031109. The next prime is 11231300031137. The reversal of 11231300031120 is 2113000313211.

11231300031120 is a `hidden beast` number, since 1 + 1 + 2 + 31 + 300 + 0 + 311 + 20 = 666.

It is a super-2 number, since 2×112313000311202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11231300031093 and 11231300031102.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5540847547 + ... + 5540849573.

Almost surely, 211231300031120 is an apocalyptic number.

11231300031120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11231300031120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20387953587456).

11231300031120 is an abundant number, since it is smaller than the sum of its proper divisors (29544607143792).

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

11231300031120 is a wasteful number, since it uses less digits than its factorization.

11231300031120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11231300031120 its reverse (2113000313211), we get a palindrome (13344300344331).

The spelling of 11231300031120 in words is "eleven trillion, two hundred thirty-one billion, three hundred million, thirty-one thousand, one hundred twenty".