Search a number
-
+
11052430000 = 245431101353
BaseRepresentation
bin10100100101100011…
…01011001010110000
31001112021002121200021
422102301223022300
5140113410230000
65024415533224
7540614050663
oct122261531260
931467077607
1011052430000
114761899277
12218552a214
131071a53b11
1476bc3b6da
1544a49911a
hex292c6b2b0

11052430000 has 200 divisors, whose sum is σ = 27974745216. Its totient is φ = 4224000000.

The previous prime is 11052429991. The next prime is 11052430019. The reversal of 11052430000 is 3425011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31309824 + ... + 31310176.

Almost surely, 211052430000 is an apocalyptic number.

11052430000 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 11052430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13987372608).

11052430000 is an abundant number, since it is smaller than the sum of its proper divisors (16922315216).

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

11052430000 is a wasteful number, since it uses less digits than its factorization.

11052430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 11052430000 its reverse (3425011), we get a palindrome (11055855011).

The spelling of 11052430000 in words is "eleven billion, fifty-two million, four hundred thirty thousand".