Search a number
-
+
111311120122220 = 22561213762216863
BaseRepresentation
bin11001010011110010100011…
…110001100100000101101100
3112121010020110100100222021202
4121103302203301210011230
5104042210133222402340
61032423342254145032
732305651215624524
oct3123624361440554
9477106410328252
10111311120122220
1132515865485837
1210598a10ab2178
134a15794160975
141d6b6b6308684
15cd06cea03c15
hex653ca3c6416c

111311120122220 has 96 divisors (see below), whose sum is σ = 237769400284416. Its totient is φ = 43760631859200.

The previous prime is 111311120122219. The next prime is 111311120122229. The reversal of 111311120122220 is 22221021113111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111311120122192 and 111311120122201.

It is not an unprimeable number, because it can be changed into a prime (111311120122229) 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, 16219014509 + ... + 16219021371.

It is an arithmetic number, because the mean of its divisors is an integer number (2476764586296).

Almost surely, 2111311120122220 is an apocalyptic number.

111311120122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111311120122220 is an abundant number, since it is smaller than the sum of its proper divisors (126458280162196).

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

111311120122220 is a wasteful number, since it uses less digits than its factorization.

111311120122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15291 (or 15289 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 111311120122220 its reverse (22221021113111), we get a palindrome (133532141235331).

The spelling of 111311120122220 in words is "one hundred eleven trillion, three hundred eleven billion, one hundred twenty million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 2137 4274 6221 6863 8548 10685 12442 13726 21370 24884 27452 31105 34315 42740 62210 68630 124420 130357 137260 260714 379481 418643 521428 651785 758962 837286 1303570 1517924 1674572 1897405 2093215 2607140 3794810 4186430 7589620 8372860 13294277 14666231 26588554 29332462 42694723 53177108 58664924 66471385 73331155 85389446 132942770 146662310 170778892 213473615 265885540 293324620 426947230 810950897 853894460 894640091 1621901794 1789280182 2604378103 3243803588 3578560364 4054754485 4473200455 5208756206 8109508970 8946400910 10417512412 13021890515 16219017940 17892801820 26043781030 52087562060 91238623051 182477246102 364954492204 456193115255 912386230510 1824772461020 5565556006111 11131112012222 22262224024444 27827780030555 55655560061110 111311120122220