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11003334320 = 245111723113283
BaseRepresentation
bin10100011111101100…
…11000111010110000
31001101211201022001202
422033312120322300
5140013323144240
65015503350332
7536446540616
oct121766307260
931354638052
1011003334320
114737105a30
122170bb23a8
131064824214
147654db6b6
15445eec315
hex28fd98eb0

11003334320 has 320 divisors, whose sum is σ = 31217716224. Its totient is φ = 3557621760.

The previous prime is 11003334301. The next prime is 11003334323. The reversal of 11003334320 is 2343330011.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11003334292 and 11003334301.

It is not an unprimeable number, because it can be changed into a prime (11003334323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38880899 + ... + 38881181.

Almost surely, 211003334320 is an apocalyptic number.

11003334320 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 11003334320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15608858112).

11003334320 is an abundant number, since it is smaller than the sum of its proper divisors (20214381904).

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

11003334320 is a wasteful number, since it uses less digits than its factorization.

11003334320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 11003334320 its reverse (2343330011), we get a palindrome (13346664331).

The spelling of 11003334320 in words is "eleven billion, three million, three hundred thirty-four thousand, three hundred twenty".