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11111323344 = 24311105120023
BaseRepresentation
bin10100101100100100…
…10101011011010000
31001200100220201011020
422112102111123100
5140223444321334
65034322115440
7542230455462
oct122622253320
931610821136
1011111323344
114792063760
1221a11abb80
131081004154
147759ac132
1545072de49
hex2964956d0

11111323344 has 80 divisors (see below), whose sum is σ = 31345089024. Its totient is φ = 3363696000.

The previous prime is 11111323343. The next prime is 11111323351. The reversal of 11111323344 is 44332311111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11111323343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 544917 + ... + 564939.

Almost surely, 211111323344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111323344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15672544512).

11111323344 is an abundant number, since it is smaller than the sum of its proper divisors (20233765680).

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

11111323344 is a wasteful number, since it uses less digits than its factorization.

11111323344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21096 (or 21090 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 11111323344 its reverse (44332311111), we get a palindrome (55443634455).

The spelling of 11111323344 in words is "eleven billion, one hundred eleven million, three hundred twenty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1051 2102 3153 4204 6306 8408 11561 12612 16816 20023 23122 25224 34683 40046 46244 50448 60069 69366 80092 92488 120138 138732 160184 184976 220253 240276 277464 320368 440506 480552 554928 660759 881012 961104 1321518 1762024 2643036 3524048 5286072 10572144 21044173 42088346 63132519 84176692 126265038 168353384 231485903 252530076 336706768 462971806 505060152 694457709 925943612 1010120304 1388915418 1851887224 2777830836 3703774448 5555661672 11111323344