Search a number
-
+
111020211221122 = 271719161931516157
BaseRepresentation
bin11001001111100011101000…
…010000001011001010000010
3112120002102120101221121202101
4121033203220100023022002
5104022423343033033442
61032041551514541014
732245642221023530
oct3117435020131202
9476072511847671
10111020211221122
1132413452a41715
121055056413776a
1349c421292a528
141d5b59a733150
15cc7d55518cb7
hex64f8e840b282

111020211221122 has 64 divisors (see below), whose sum is σ = 212135005313280. Its totient is φ = 42421705261056.

The previous prime is 111020211221069. The next prime is 111020211221123. The reversal of 111020211221122 is 221122112020111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

111020211221122 is a modest number, since divided by 11221122 gives 1110202 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 111020211221122.

It is not an unprimeable number, because it can be changed into a prime (111020211221123) 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 31 ways as a sum of consecutive naturals, for example, 72466668 + ... + 73982824.

It is an arithmetic number, because the mean of its divisors is an integer number (3314609458020).

Almost surely, 2111020211221122 is an apocalyptic number.

111020211221122 is a deficient number, since it is larger than the sum of its proper divisors (101114794092158).

111020211221122 is a wasteful number, since it uses less digits than its factorization.

111020211221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532395.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 111020211221122 its reverse (221122112020111), we get a palindrome (332142323241233).

The spelling of 111020211221122 in words is "one hundred eleven trillion, twenty billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 7 14 17 19 34 38 119 133 238 266 323 646 2261 4522 16193 32386 113351 226702 275281 307667 550562 615334 1516157 1926967 2153669 3032314 3853934 4307338 5230339 10460678 10613099 21226198 25774669 28806983 36612373 51549338 57613966 73224746 180422683 201648881 360845366 403297762 489718711 979437422 3428030977 6856061954 24551130301 49102260602 171857912107 343715824214 417369215117 466471475719 834738430234 932942951438 2921584505819 3265300330033 5843169011638 6530600660066 7930015087223 15860030174446 55510105610561 111020211221122