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1110113030322 = 2325321011811201
BaseRepresentation
bin10000001001110111111…
…001001001000010110010
310221010101200111221022100
4100021313321021002302
5121142002413432242
62205551234521230
7143126431031652
oct20116771110262
93833350457270
101110113030322
1139888395739a
1215b192736216
13808b601c19a
143ba30650362
151dd2373954c
hex10277e490b2

1110113030322 has 144 divisors (see below), whose sum is σ = 2491506258696. Its totient is φ = 357177600000.

The previous prime is 1110113030311. The next prime is 1110113030359. The reversal of 1110113030322 is 2230303110111.

It can be written as a sum of positive squares in 12 ways, for example, as 44736057081 + 1065376973241 = 211509^2 + 1032171^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1110113030295 and 1110113030304.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 924323322 + ... + 924324522.

Almost surely, 21110113030322 is an apocalyptic number.

1110113030322 is an abundant number, since it is smaller than the sum of its proper divisors (1381393228374).

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

1110113030322 is a wasteful number, since it uses less digits than its factorization.

1110113030322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1110113030322 its reverse (2230303110111), we get a palindrome (3340416140433).

The spelling of 1110113030322 in words is "one trillion, one hundred ten billion, one hundred thirteen million, thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 101 106 159 181 202 303 318 362 477 543 606 909 954 1086 1201 1629 1818 2402 2809 3258 3603 5353 5618 7206 8427 9593 10706 10809 16059 16854 18281 19186 21618 25281 28779 32118 36562 48177 50562 54843 57558 63653 86337 96354 109686 121301 127306 164529 172674 190959 217381 242602 283709 329058 363903 381918 434762 508429 567418 572877 652143 727806 851127 968893 1016858 1091709 1145754 1304286 1525287 1702254 1937786 1956429 2183418 2553381 2906679 3050574 3373609 3912858 4575861 5106762 5813358 6428953 6747218 8720037 9151722 10120827 11521193 12857906 17440074 19286859 20241654 21955481 23042386 30362481 34563579 38573718 43910962 51351329 57860577 60724962 65866443 69127158 102702658 103690737 115721154 131732886 154053987 197599329 207381474 308107974 340734509 395198658 462161961 610623229 681469018 924323922 1022203527 1163640493 1221246458 1831869687 2044407054 2327280986 3066610581 3490921479 3663739374 5495609061 6133221162 6981842958 10472764437 10991218122 20945528874 61672946129 123345892258 185018838387 370037676774 555056515161 1110113030322