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11322104640 = 2635721121881
BaseRepresentation
bin10101000101101100…
…11001101101000000
31002020001112111201220
422202312121231000
5141141424322030
65111251555040
7550400205300
oct124266315500
932201474656
1011322104640
11489003a880
12223b8bba80
1310b5894802
14795999600
15463eb7a10
hex2a2d99b40

11322104640 has 336 divisors, whose sum is σ = 45620293824. Its totient is φ = 2352537600.

The previous prime is 11322104627. The next prime is 11322104641. The reversal of 11322104640 is 4640122311.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11322104640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11322104641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 506500 + ... + 528380.

It is an arithmetic number, because the mean of its divisors is an integer number (135774684).

Almost surely, 211322104640 is an apocalyptic number.

11322104640 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 11322104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22810146912).

11322104640 is an abundant number, since it is smaller than the sum of its proper divisors (34298189184).

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

11322104640 is a wasteful number, since it uses less digits than its factorization.

11322104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21926 (or 21909 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11322104640 its reverse (4640122311), we get a palindrome (15962226951).

The spelling of 11322104640 in words is "eleven billion, three hundred twenty-two million, one hundred four thousand, six hundred forty".