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11221132344 = 2331919712521
BaseRepresentation
bin10100111001101010…
…01110010000111000
31001222000112120210020
422130311032100320
5140440102213334
65053243450440
7545033023362
oct123465162070
931860476706
1011221132344
1148390448a4
122211b26a20
13109a9a05a6
147863d3d32
1545a1bee49
hex29cd4e438

11221132344 has 64 divisors (see below), whose sum is σ = 28239943680. Its totient is φ = 3715488000.

The previous prime is 11221132343. The next prime is 11221132357. The reversal of 11221132344 is 44323112211.

It is a super-2 number, since 2×112211323442 (a number of 21 digits) contains 22 as substring.

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 (11221132343) 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, 4449804 + ... + 4452324.

It is an arithmetic number, because the mean of its divisors is an integer number (441249120).

Almost surely, 211221132344 is an apocalyptic number.

It is an amenable number.

11221132344 is an abundant number, since it is smaller than the sum of its proper divisors (17018811336).

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

11221132344 is a wasteful number, since it uses less digits than its factorization.

11221132344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3692 (or 3688 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 11221132344 its reverse (44323112211), we get a palindrome (55544244555).

The spelling of 11221132344 in words is "eleven billion, two hundred twenty-one million, one hundred thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 191 382 573 764 971 1146 1528 1942 2292 2521 2913 3884 4584 5042 5826 7563 7768 10084 11652 15126 20168 23304 30252 60504 185461 370922 481511 556383 741844 963022 1112766 1444533 1483688 1926044 2225532 2447891 2889066 3852088 4451064 4895782 5778132 7343673 9791564 11556264 14687346 19583128 29374692 58749384 467547181 935094362 1402641543 1870188724 2805283086 3740377448 5610566172 11221132344