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11220311130000 = 2435471312111933
BaseRepresentation
bin1010001101000110111010…
…1010001011111110010000
31110201122120202220200011220
42203101232222023332100
52432313144122130000
635510312331405040
72235432524660640
oct243215652137620
943648522820156
1011220311130000
113636564135765
1213126a35b3780
136350bc71493b
142ab0ccdac520
15146cecd561a0
hexa346ea8bf90

11220311130000 has 800 divisors, whose sum is σ = 41930396378112. Its totient is φ = 2531692800000.

The previous prime is 11220311129999. The next prime is 11220311130001. The reversal of 11220311130000 is 3111302211.

It is a happy number.

11220311130000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11220311129999) and next prime (11220311130001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (11220311130001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5804609034 + ... + 5804610966.

Almost surely, 211220311130000 is an apocalyptic number.

11220311130000 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 11220311130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20965198189056).

11220311130000 is an abundant number, since it is smaller than the sum of its proper divisors (30710085248112).

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

11220311130000 is a wasteful number, since it uses less digits than its factorization.

11220311130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11220311130000 its reverse (3111302211), we get a palindrome (11223422432211).

The spelling of 11220311130000 in words is "eleven trillion, two hundred twenty billion, three hundred eleven million, one hundred thirty thousand".