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11220111000 = 2332537313569
BaseRepresentation
bin10100111001100010…
…10100111010011000
31001221221121200202200
422130301110322120
5140434322023000
65053205530200
7545021240610
oct123461247230
931857550680
1011220111000
11483850750a
122211713960
13109a703747
14786209a40
1545a06c500
hex29cc54e98

11220111000 has 384 divisors, whose sum is σ = 43556572800. Its totient is φ = 2551910400.

The previous prime is 11220110989. The next prime is 11220111017. The reversal of 11220111000 is 11102211.

It is a happy number.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19718716 + ... + 19719284.

It is an arithmetic number, because the mean of its divisors is an integer number (113428575).

Almost surely, 211220111000 is an apocalyptic number.

11220111000 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 11220111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21778286400).

11220111000 is an abundant number, since it is smaller than the sum of its proper divisors (32336461800).

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

11220111000 is a wasteful number, since it uses less digits than its factorization.

11220111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11220111000 its reverse (11102211), we get a palindrome (11231213211).

It can be divided in two parts, 112201 and 11000, that added together give a square (123201 = 3512).

The spelling of 11220111000 in words is "eleven billion, two hundred twenty million, one hundred eleven thousand".