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11220000000 = 283571117
BaseRepresentation
bin10100111001100001…
…11001110100000000
31001221221102001111120
422130300321310000
5140434310000000
65053203312240
7545020266156
oct123460716400
931857361446
1011220000000
114838441080
12221167b680
13109a695071
147861bb3d6
1545a0496a0
hex29cc39d00

11220000000 has 576 divisors, whose sum is σ = 43115514624. Its totient is φ = 2560000000.

The previous prime is 11219999993. The next prime is 11220000007. The reversal of 11220000000 is 2211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11219999993) and next prime (11220000007).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220000007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 659999992 + ... + 660000008.

It is an arithmetic number, because the mean of its divisors is an integer number (74853324).

Almost surely, 211220000000 is an apocalyptic number.

11220000000 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 11220000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21557757312).

11220000000 is an abundant number, since it is smaller than the sum of its proper divisors (31895514624).

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

11220000000 is an frugal number, since it uses more digits than its factorization.

11220000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 11220000000 its reverse (2211), we get a palindrome (11220002211).

The spelling of 11220000000 in words is "eleven billion, two hundred twenty million", and thus it is an aban number.