Search a number
-
+
211322222223112 = 237112132398989899
BaseRepresentation
bin110000000011001001001001…
…111111010001111100001000
31000201020012121000020122220101
4300003021021333101330020
5210144300402342114422
62025240031053335144
762340345444305140
oct6003111177217410
91021205530218811
10211322222223112
1161374284316700
121b84b7b47974b4
1390bb7a53cc080
143a2809b7a7920
151966e98ccec27
hexc03249fd1f08

211322222223112 has 96 divisors (see below), whose sum is σ = 536030303256000. Its totient is φ = 75999999968640.

The previous prime is 211322222223089. The next prime is 211322222223131.

211322222223112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1199406862 + ... + 1199583037.

It is an arithmetic number, because the mean of its divisors is an integer number (5583648992250).

Almost surely, 2211322222223112 is an apocalyptic number.

211322222223112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211322222223112 is an abundant number, since it is smaller than the sum of its proper divisors (324708081032888).

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

211322222223112 is a wasteful number, since it uses less digits than its factorization.

211322222223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398989947 (or 2398989932 counting only the distinct ones).

The product of its digits is 4608, while the sum is 28.

The spelling of 211322222223112 in words is "two hundred eleven trillion, three hundred twenty-two billion, two hundred twenty-two million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 121 143 154 182 242 286 308 364 484 572 616 728 847 968 1001 1144 1573 1694 2002 3146 3388 4004 6292 6776 8008 11011 12584 22022 44044 88088 2398989899 4797979798 9595959596 16792929293 19191919192 26388888889 31186868687 33585858586 52777777778 62373737374 67171717172 105555555556 124747474748 134343434344 184722222223 211111111112 218308080809 249494949496 290277777779 343055555557 369444444446 436616161618 580555555558 686111111114 738888888892 873232323236 1161111111116 1372222222228 1477777777784 1746464646472 2031944444453 2322222222232 2401388888899 2744444444456 3773611111127 4063888888906 4802777777798 7547222222254 8127777777812 9605555555596 15094444444508 16255555555624 19211111111192 26415277777889 30188888889016 52830555555778 105661111111556 211322222223112