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11330220000 = 253541117167
BaseRepresentation
bin10101000110101010…
…10110111111100000
31002020121210210220210
422203111112333200
5141201014020000
65112141534120
7550526165241
oct124325267740
932217723823
1011330220000
114894682a90
122242574340
1310b74765b8
14796aaccc8
15464a6c350
hex2a3556fe0

11330220000 has 240 divisors, whose sum is σ = 40546420992. Its totient is φ = 2746560000.

The previous prime is 11330219969. The next prime is 11330220029. The reversal of 11330220000 is 2203311.

It is a happy number.

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 (12).

It is a congruent number.

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, 651417 + ... + 668583.

Almost surely, 211330220000 is an apocalyptic number.

11330220000 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 11330220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273210496).

11330220000 is an abundant number, since it is smaller than the sum of its proper divisors (29216200992).

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

11330220000 is a wasteful number, since it uses less digits than its factorization.

11330220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17211 (or 17188 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 11330220000 its reverse (2203311), we get a palindrome (11332423311).

The spelling of 11330220000 in words is "eleven billion, three hundred thirty million, two hundred twenty thousand".