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11001001202022 = 23131797107799343
BaseRepresentation
bin1010000000010101111011…
…0001001101000101100110
31102221200111200121000021210
42200011132301031011212
52420220022301431042
635221442402452250
72213540031231546
oct240053661150546
942850450530253
1011001001202022
1135615534238a7
121298099064086
1361a50b9923a0
142a0646517326
15141264526a9c
hexa015ec4d166

11001001202022 has 128 divisors (see below), whose sum is σ = 25583816853504. Its totient is φ = 3123496009728.

The previous prime is 11001001202021. The next prime is 11001001202041. The reversal of 11001001202022 is 22020210010011.

It is a junction number, because it is equal to n+sod(n) for n = 11001001201989 and 11001001202007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001001202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13362883 + ... + 14162225.

It is an arithmetic number, because the mean of its divisors is an integer number (199873569168).

Almost surely, 211001001202022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11001001202022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12791908426752).

11001001202022 is an abundant number, since it is smaller than the sum of its proper divisors (14582815651482).

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

11001001202022 is a wasteful number, since it uses less digits than its factorization.

11001001202022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 799582.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11001001202022 its reverse (22020210010011), we get a palindrome (33021211212033).

The spelling of 11001001202022 in words is "eleven trillion, one billion, one million, two hundred two thousand, twenty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 97 102 107 194 214 221 291 321 442 582 642 663 1261 1326 1391 1649 1819 2522 2782 3298 3638 3783 4173 4947 5457 7566 8346 9894 10379 10914 20758 21437 23647 31137 42874 47294 62274 64311 70941 128622 134927 141882 176443 269854 352886 404781 529329 799343 809562 1058658 1598686 2293759 2398029 4587518 4796058 6881277 10391459 13588831 13762554 20782918 27177662 31174377 40766493 62348754 77536271 81532986 85529701 155072542 171059402 176654803 232608813 256589103 353309606 465217626 513178206 529964409 1007971523 1059928818 1111886113 1318116607 1454004917 2015943046 2223772226 2636233214 2908009834 3023914569 3335658339 3954349821 4362014751 6047829138 6671316678 7908699642 8296380997 8724029502 16592761994 17135515891 18902063921 24889142991 34271031782 37804127842 49778285982 51406547673 56706191763 102813095346 107852952961 113412383526 141038476949 215705905922 282076953898 323558858883 423115430847 647117717766 846230861694 1833500200337 3667000400674 5500500601011 11001001202022