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11000100202002 = 23223972311118529
BaseRepresentation
bin1010000000010010100100…
…0100001010011000010010
31102221121011220012110121200
42200010221010022120102
52420211201122431002
635221213135132030
72213505510656412
oct240045104123022
942847156173550
1011000100202002
11356113087918a
121297a87374016
1361a3c7108792
142a059c9ba642
1514121039db1c
hexa012910a612

11000100202002 has 96 divisors (see below), whose sum is σ = 25137265870080. Its totient is φ = 3469589544960.

The previous prime is 11000100201953. The next prime is 11000100202081. The reversal of 11000100202002 is 20020200100011.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 47 ways as a sum of consecutive naturals, for example, 92745874 + ... + 92864402.

It is an arithmetic number, because the mean of its divisors is an integer number (261846519480).

Almost surely, 211000100202002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000100202002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12568632935040).

11000100202002 is an abundant number, since it is smaller than the sum of its proper divisors (14137165668078).

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

11000100202002 is a wasteful number, since it uses less digits than its factorization.

11000100202002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120968 (or 120965 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11000100202002 its reverse (20020200100011), we get a palindrome (31020300302013).

The spelling of 11000100202002 in words is "eleven trillion, one hundred million, two hundred two thousand, two".

Divisors: 1 2 3 6 9 18 23 46 69 97 138 194 207 291 414 582 873 1746 2231 2311 4462 4622 6693 6933 13386 13866 20079 20799 40158 41598 53153 106306 118529 159459 224167 237058 318918 355587 448334 478377 672501 711174 956754 1066761 1345002 2017503 2133522 2726167 4035006 5155841 5452334 8178501 10311682 11497313 15467523 16357002 22994626 24535503 30935046 34491939 46402569 49071006 68983878 92805138 103475817 206951634 264438199 273920519 528876398 547841038 793314597 821761557 1586629194 1643523114 2379943791 2465284671 4759887582 4930569342 6300171937 12600343874 18900515811 26570290343 37801031622 53140580686 56701547433 79710871029 113403094866 159421742058 239132613087 478265226174 611116677889 1222233355778 1833350033667 3666700067334 5500050101001 11000100202002