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101021010222 = 231121710181041
BaseRepresentation
bin101111000010101010…
…0100100100100101110
3100122202022212000222010
41132011110210210232
53123342334311342
6114224114502050
710204252263456
oct1360524444456
9318668760863
10101021010222
113992a7aa200
12176b3894926
1396ac1c4ac2
144c648bad66
152963bbb29c
hex178552492e

101021010222 has 96 divisors (see below), whose sum is σ = 237473806752. Its totient is φ = 28526080000.

The previous prime is 101021010203. The next prime is 101021010247. The reversal of 101021010222 is 222010120101.

It is a junction number, because it is equal to n+sod(n) for n = 101021010198 and 101021010207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1206022 + ... + 1287062.

It is an arithmetic number, because the mean of its divisors is an integer number (2473685487).

Almost surely, 2101021010222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118736903376).

101021010222 is an abundant number, since it is smaller than the sum of its proper divisors (136452796530).

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

101021010222 is a wasteful number, since it uses less digits than its factorization.

101021010222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81186 (or 81175 counting only the distinct ones).

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

Adding to 101021010222 its reverse (222010120101), we get a palindrome (323031130323).

The spelling of 101021010222 in words is "one hundred one billion, twenty-one million, ten thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 121 187 202 242 303 363 374 561 606 726 1111 1122 1717 2057 2222 3333 3434 4114 5151 6171 6666 10302 12221 12342 18887 24442 36663 37774 56661 73326 81041 113322 162082 207757 243123 415514 486246 623271 891451 1246542 1377697 1782902 2674353 2755394 4133091 5348706 8185141 8266182 9805961 15154667 16370282 19611922 24555423 29417883 30309334 45464001 49110846 58835766 90036551 90928002 139147397 166701337 180073102 270109653 278294794 333402674 417442191 500104011 540219306 834884382 990402061 1000208022 1530621367 1980804122 2971206183 3061242734 4591864101 5942412366 9183728202 16836835037 33673670074 50510505111 101021010222