Search a number
-
+
11120252000 = 2553111319441
BaseRepresentation
bin10100101101101000…
…11001010001100000
31001200222201022222012
422112310121101200
5140233241031000
65035241332052
7542366403524
oct122664312140
931628638865
1011120252000
114797101a10
1221a4197028
131082b0c190
14776c53d84
154513e4735
hex296d19460

11120252000 has 192 divisors, whose sum is σ = 32100763968. Its totient is φ = 3732480000.

The previous prime is 11120251997. The next prime is 11120252009. The reversal of 11120252000 is 25202111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120252009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 562280 + ... + 581720.

It is an arithmetic number, because the mean of its divisors is an integer number (167191479).

Almost surely, 211120252000 is an apocalyptic number.

11120252000 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 11120252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16050381984).

11120252000 is an abundant number, since it is smaller than the sum of its proper divisors (20980511968).

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

11120252000 is a wasteful number, since it uses less digits than its factorization.

11120252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19490 (or 19472 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

Adding to 11120252000 its reverse (25202111), we get a palindrome (11145454111).

The spelling of 11120252000 in words is "eleven billion, one hundred twenty million, two hundred fifty-two thousand".