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10001010021222 = 2311231360437283
BaseRepresentation
bin1001000110001000101010…
…1001100101001101100110
31022102002100120202122110210
42101202022221211031212
52302324032031134342
633134222305200250
72051356231363503
oct221421251451546
938362316678423
1010001010021222
11320644a481a00
12115631a030086
13577125493b0c
142680a13284aa
1512523895379c
hex9188aa65366

10001010021222 has 96 divisors (see below), whose sum is σ = 22062612023424. Its totient is φ = 3020012012160.

The previous prime is 10001010021209. The next prime is 10001010021239. The reversal of 10001010021222 is 22212001010001.

It is a junction number, because it is equal to n+sod(n) for n = 10001010021198 and 10001010021207.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1373195593 + ... + 1373202875.

It is an arithmetic number, because the mean of its divisors is an integer number (229818875244).

Almost surely, 210001010021222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001010021222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031306011712).

10001010021222 is an abundant number, since it is smaller than the sum of its proper divisors (12061602002202).

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

10001010021222 is a wasteful number, since it uses less digits than its factorization.

10001010021222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13666 (or 13655 counting only the distinct ones).

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

Adding to 10001010021222 its reverse (22212001010001), we get a palindrome (32213011031223).

The spelling of 10001010021222 in words is "ten trillion, one billion, ten million, twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 242 313 363 626 726 939 1878 3443 6043 6886 7283 10329 12086 14566 18129 20658 21849 36258 37873 43698 66473 75746 80113 113619 132946 160226 199419 227238 240339 398838 480678 731203 881243 1462406 1762486 1891459 2193609 2279579 2643729 3782918 4387218 4559158 5287458 5674377 6838737 11348754 13677474 20806049 25075369 41612098 44011169 50150738 62418147 75226107 88022338 124836294 132033507 150452214 228866539 264067014 275829059 457733078 484122859 551658118 686599617 827487177 968245718 1373199234 1452368577 1654974354 2904737154 5325351449 10650702898 13775495897 15976054347 27550991794 31952108694 41326487691 82652975382 151530454867 303060909734 454591364601 909182729202 1666835003537 3333670007074 5000505010611 10001010021222