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11244220311324 = 223711132371946117
BaseRepresentation
bin1010001110011111111111…
…0000011110011100011100
31110210221022001020221002010
42203213333300132130130
52433211130344430244
635525305024231220
72240240155445640
oct243477760363434
943727261227063
1011244220311324
113645713258550
12131725676b510
1363742cc63500
142ac31a526c20
1514774bda7eb9
hexa39ffc1e71c

11244220311324 has 288 divisors, whose sum is σ = 36377522689536. Its totient is φ = 2623052989440.

The previous prime is 11244220311319. The next prime is 11244220311329. The reversal of 11244220311324 is 42311302244211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11244220311319) and next prime (11244220311329).

It is a junction number, because it is equal to n+sod(n) for n = 11244220311291 and 11244220311300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244220311329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4804714 + ... + 6750830.

It is an arithmetic number, because the mean of its divisors is an integer number (126310842672).

Almost surely, 211244220311324 is an apocalyptic number.

11244220311324 is a gapful number since it is divisible by the number (14) 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 11244220311324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18188761344768).

11244220311324 is an abundant number, since it is smaller than the sum of its proper divisors (25133302378212).

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

11244220311324 is a wasteful number, since it uses less digits than its factorization.

11244220311324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946205 (or 1946190 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 11244220311324 its reverse (42311302244211), we get a palindrome (53555522555535).

The spelling of 11244220311324 in words is "eleven trillion, two hundred forty-four billion, two hundred twenty million, three hundred eleven thousand, three hundred twenty-four".