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101103444 = 223313107673
BaseRepresentation
bin1100000011010…
…11011101010100
321001020120212000
412001223131110
5201340302234
614010555300
72335236141
oct601533524
9231216760
10101103444
1152085572
1229a38b30
1317c3bb30
14d5db3c8
158d21899
hex606b754

101103444 has 96 divisors (see below), whose sum is σ = 285344640. Its totient is φ = 30772224.

The previous prime is 101103371. The next prime is 101103451. The reversal of 101103444 is 444301101.

It is a super-2 number, since 2×1011034442 = 20443812777322272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149892 + ... + 150564.

It is an arithmetic number, because the mean of its divisors is an integer number (2972340).

Almost surely, 2101103444 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 101103444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142672320).

101103444 is an abundant number, since it is smaller than the sum of its proper divisors (184241196).

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

101103444 is a wasteful number, since it uses less digits than its factorization.

101103444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101103444 is about 10055.0208353837. The cubic root of 101103444 is about 465.8598865294.

Adding to 101103444 its reverse (444301101), we get a palindrome (545404545).

The spelling of 101103444 in words is "one hundred one million, one hundred three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 107 108 117 156 214 234 321 351 428 468 642 673 702 963 1284 1346 1391 1404 1926 2019 2692 2782 2889 3852 4038 4173 5564 5778 6057 8076 8346 8749 11556 12114 12519 16692 17498 18171 24228 25038 26247 34996 36342 37557 50076 52494 72011 72684 75114 78741 104988 144022 150228 157482 216033 236223 288044 314964 432066 472446 648099 864132 936143 944892 1296198 1872286 1944297 2592396 2808429 3744572 3888594 5616858 7777188 8425287 11233716 16850574 25275861 33701148 50551722 101103444