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22221122000011 = 1173101213719801
BaseRepresentation
bin1010000110101110000100…
…00101010101010010001011
32220200022121012100211000221
411003113002011111102023
510403032324213000021
6115132124215010511
74452265055352634
oct503270205252213
986608535324027
1022221122000011
117097a1a07a280
1225aa728969a37
13c5259ab2641c
1456b7180dc88b
152880507d3241
hex1435c215548b

22221122000011 has 48 divisors (see below), whose sum is σ = 25001427615264. Its totient is φ = 19582041600000.

The previous prime is 22221121999987. The next prime is 22221122000029. The reversal of 22221122000011 is 11000022112222.

It is a happy number.

It is not a de Polignac number, because 22221122000011 - 213 = 22221121991819 is a prime.

It is a Duffinian number.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (22221122000041) 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 47 ways as a sum of consecutive naturals, for example, 1122212311 + ... + 1122232111.

It is an arithmetic number, because the mean of its divisors is an integer number (520863075318).

Almost surely, 222221122000011 is an apocalyptic number.

22221122000011 is a deficient number, since it is larger than the sum of its proper divisors (2780305615253).

22221122000011 is a wasteful number, since it uses less digits than its factorization.

22221122000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20224 (or 20123 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22221122000011 its reverse (11000022112222), we get a palindrome (33221144112233).

It can be divided in two parts, 222211 and 22000011, that added together give a palindrome (22222222).

The spelling of 22221122000011 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred twenty-two million, eleven", and thus it is an aban number.

Divisors: 1 11 73 101 137 803 1111 1507 7373 10001 10201 13837 19801 81103 110011 112211 152207 217811 744673 1010101 1397537 1445473 1999901 2712737 8191403 11111111 15372907 15900203 21998911 29840107 102020201 145992773 198029801 201990001 273986437 1122222211 1605920503 2178327811 2221890011 3013850807 14745270073 20001009901 27672630137 162197970803 220011108911 304398931507 2020102000001 22221122000011