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11231120233200 = 2435272083641881
BaseRepresentation
bin1010001101101111001011…
…1011101001001011110000
31110202200111002011000020110
42203123302323221023300
52433002313234430300
635515301100141320
72236264425562230
oct243336273511360
943680432130213
1011231120233200
1136401006389aa
1213147bb537840
13636122c215aa
142ab836789cc0
15147231c88550
hexa36f2ee92f0

11231120233200 has 240 divisors, whose sum is σ = 41136399570176. Its totient is φ = 2565876787200.

The previous prime is 11231120233181. The next prime is 11231120233217. The reversal of 11231120233200 is 233202113211.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×112311202332002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17176260 + ... + 17818140.

Almost surely, 211231120233200 is an apocalyptic number.

11231120233200 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 11231120233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20568199785088).

11231120233200 is an abundant number, since it is smaller than the sum of its proper divisors (29905279336976).

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

11231120233200 is a wasteful number, since it uses less digits than its factorization.

11231120233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643992 (or 643981 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11231120233200 its reverse (233202113211), we get a palindrome (11464322346411).

The spelling of 11231120233200 in words is "eleven trillion, two hundred thirty-one billion, one hundred twenty million, two hundred thirty-three thousand, two hundred".