Search a number
-
+
211222112211110 = 257111338954244499
BaseRepresentation
bin110000000001101011111010…
…111101111001000010100110
31000200212122012011121010120002
4300001223322331321002212
5210141130341211223420
62025122033200341302
762330202563245010
oct6001537275710246
91020778164533502
10211222112211110
11613358818809a0
121b834316014832
1390b220cb81990
143a232c1cab1b0
15196458a0b4075
hexc01afaf790a6

211222112211110 has 128 divisors (see below), whose sum is σ = 511790348160000. Its totient is φ = 60614971845120.

The previous prime is 211222112211023. The next prime is 211222112211113. The reversal of 211222112211110 is 11112211222112.

It is a happy number.

211222112211110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2112221122111102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222112211113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23228360 + ... + 31016139.

It is an arithmetic number, because the mean of its divisors is an integer number (3998362095000).

Almost surely, 2211222112211110 is an apocalyptic number.

211222112211110 is an abundant number, since it is smaller than the sum of its proper divisors (300568235948890).

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

211222112211110 is a wasteful number, since it uses less digits than its factorization.

211222112211110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54244926.

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 211222112211110 its reverse (11112211222112), we get a palindrome (222334323433222).

The spelling of 211222112211110 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred twelve million, two hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 389 455 715 770 778 910 1001 1430 1945 2002 2723 3890 4279 5005 5057 5446 8558 10010 10114 13615 21395 25285 27230 29953 35399 42790 50570 55627 59906 70798 111254 149765 176995 278135 299530 353990 389389 556270 778778 1946945 3893890 54244499 108488998 271222495 379711493 542444990 596689489 705178487 759422986 1193378978 1410356974 1898557465 2983447445 3525892435 3797114930 4176826423 4936249409 5966894890 7051784870 7756963357 8353652846 9872498818 15513926714 20884132115 21101110111 24681247045 38784816785 41768264230 42202220222 49362494090 54298743499 77569633570 105505550555 108597486998 147707770777 211011101110 232112211221 271493717495 274314431443 295415541554 464224422442 542987434990 548628862886 738538853885 1160561056105 1371572157215 1477077707770 1624785478547 1920201020101 2321122112210 2743144314430 3017458745873 3249570957094 3840402040202 6034917491746 8123927392735 9601005100505 15087293729365 16247854785470 19202010201010 21122211221111 30174587458730 42244422442222 105611056105555 211222112211110