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11322000000 = 2732561737
BaseRepresentation
bin10101000101101100…
…00000001010000000
31002020001100012012100
422202312000022000
5141141413000000
65111245430400
7550366261233
oct124266001200
932201305170
1011322000000
11488aa791a3
12223b86b400
1310b5858cac
1479596d41a
15463e96a00
hex2a2d80280

11322000000 has 672 divisors, whose sum is σ = 44285761260. Its totient is φ = 2764800000.

The previous prime is 11321999971. The next prime is 11322000031. The reversal of 11322000000 is 22311.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 6230892096 + 5091107904 = 78936^2 + 71352^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 305999982 + ... + 306000018.

Almost surely, 211322000000 is an apocalyptic number.

11322000000 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 11322000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22142880630).

11322000000 is an abundant number, since it is smaller than the sum of its proper divisors (32963761260).

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

11322000000 is an frugal number, since it uses more digits than its factorization.

11322000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 11322000000 its reverse (22311), we get a palindrome (11322022311).

The spelling of 11322000000 in words is "eleven billion, three hundred twenty-two million", and thus it is an aban number.