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11332310000 = 245411711451
BaseRepresentation
bin10101000110111010…
…10101001111110000
31002020202201222212012
422203131111033300
5141202032410000
65112254422052
7550553021444
oct124335251760
932222658765
1011332310000
114895880260
122243201928
1310b7a2899b
14797094824
15464d31735
hex2a37553f0

11332310000 has 200 divisors, whose sum is σ = 30373377408. Its totient is φ = 4060000000.

The previous prime is 11332309993. The next prime is 11332310027. The reversal of 11332310000 is 1323311.

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

It is a super-2 number, since 2×113323100002 (a number of 21 digits) contains 22 as substring.

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, 7809275 + ... + 7810725.

Almost surely, 211332310000 is an apocalyptic number.

11332310000 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 11332310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15186688704).

11332310000 is an abundant number, since it is smaller than the sum of its proper divisors (19041067408).

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

11332310000 is a wasteful number, since it uses less digits than its factorization.

11332310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561 (or 1540 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 11332310000 its reverse (1323311), we get a palindrome (11333633311).

The spelling of 11332310000 in words is "eleven billion, three hundred thirty-two million, three hundred ten thousand".