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11333220000 = 253541741271
BaseRepresentation
bin10101000111000001…
…10011011010100000
31002020211110020010220
422203200303122200
5141202301020000
65112330123040
7550563531504
oct124340633240
932224406126
1011333220000
114896341a23
122243580480
1310b7c86c4b
14797250304
15464e611a0
hex2a38336a0

11333220000 has 480 divisors, whose sum is σ = 40470845184. Its totient is φ = 2764800000.

The previous prime is 11333219941. The next prime is 11333220001. The reversal of 11333220000 is 2233311.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11333220001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41819865 + ... + 41820135.

Almost surely, 211333220000 is an apocalyptic number.

11333220000 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 11333220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20235422592).

11333220000 is an abundant number, since it is smaller than the sum of its proper divisors (29137625184).

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

11333220000 is a wasteful number, since it uses less digits than its factorization.

11333220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 11333220000 its reverse (2233311), we get a palindrome (11335453311).

The spelling of 11333220000 in words is "eleven billion, three hundred thirty-three million, two hundred twenty thousand".