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22221010011012 = 22323671542777893
BaseRepresentation
bin1010000110101101110110…
…11010001000001110000100
32220200022022101122012000020
411003112323122020032010
510403032112030323022
6115132105134415140
74452262225435251
oct503267332101604
986608271565006
1022221010011012
11709797193a28a
1225aa6b73614b0
13c52580875947
1456b7072aa428
15288045a6135c
hex1435bb688384

22221010011012 has 96 divisors (see below), whose sum is σ = 54915105487872. Its totient is φ = 6978672049536.

The previous prime is 22221010010959. The next prime is 22221010011017. The reversal of 22221010011012 is 21011001012222.

It is a super-2 number, since 2×222210100110122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22221010010982 and 22221010011000.

It is not an unprimeable number, because it can be changed into a prime (22221010011017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285237138 + ... + 285315030.

It is an arithmetic number, because the mean of its divisors is an integer number (572032348832).

Almost surely, 222221010011012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221010011012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27457552743936).

22221010011012 is an abundant number, since it is smaller than the sum of its proper divisors (32694095476860).

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

22221010011012 is a wasteful number, since it uses less digits than its factorization.

22221010011012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93417 (or 93415 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 22221010011012 its reverse (21011001012222), we get a palindrome (43232011023234).

The spelling of 22221010011012 in words is "twenty-two trillion, two hundred twenty-one billion, ten million, eleven thousand, twelve".

Divisors: 1 2 3 4 6 12 23 46 67 69 92 134 138 201 268 276 402 804 1541 3082 4623 6164 9246 15427 18492 30854 46281 61708 77893 92562 155786 185124 233679 311572 354821 467358 709642 934716 1033609 1064463 1419284 1791539 2067218 2128926 3100827 3583078 4134436 4257852 5218831 5374617 6201654 7166156 10437662 10749234 12403308 15656493 20875324 21498468 23773007 31312986 47546014 62625972 71319021 95092028 120033113 142638042 240066226 285276084 360099339 480132452 720198678 1201655311 1440397356 2403310622 3604965933 4806621244 7209931866 14419863732 27638072153 55276144306 80510905837 82914216459 110552288612 161021811674 165828432918 241532717511 322043623348 331656865836 483065435022 966130870044 1851750834251 3703501668502 5555252502753 7407003337004 11110505005506 22221010011012