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11023254000 = 2432531155673
BaseRepresentation
bin10100100010000100…
…11000000111110000
31001110020012022201200
422101002120013300
5140033423112000
65021454331200
7540111053523
oct122102300760
931406168650
1011023254000
114747380980
1221777b9b00
1310689a9c05
14768004bba
15447b34500
hex2910981f0

11023254000 has 240 divisors, whose sum is σ = 42001356384. Its totient is φ = 2672256000.

The previous prime is 11023253981. The next prime is 11023254041. The reversal of 11023254000 is 45232011.

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

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

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, 170164 + ... + 225836.

Almost surely, 211023254000 is an apocalyptic number.

11023254000 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 11023254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000678192).

11023254000 is an abundant number, since it is smaller than the sum of its proper divisors (30978102384).

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

11023254000 is a wasteful number, since it uses less digits than its factorization.

11023254000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55713 (or 55694 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 11023254000 its reverse (45232011), we get a palindrome (11068486011).

The spelling of 11023254000 in words is "eleven billion, twenty-three million, two hundred fifty-four thousand".