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11111220220122 = 23211283266323081
BaseRepresentation
bin1010000110110000100001…
…0101011001000011011010
31110100020000001010021000100
42201230020111121003122
52424021234334020442
635344231334520230
72224521252356001
oct241541025310332
943306001107010
1011111220220122
1135a4273166500
1212b5519206076
13627a25674aa9
142a5b0082dc38
1514406598384c
hexa1b085590da

11111220220122 has 144 divisors (see below), whose sum is σ = 26791880117184. Its totient is φ = 3325076515200.

The previous prime is 11111220220097. The next prime is 11111220220171. The reversal of 11111220220122 is 22102202211111.

It is a super-2 number, since 2×111112202201222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11111220220095 and 11111220220104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 481389622 + ... + 481412702.

It is an arithmetic number, because the mean of its divisors is an integer number (186054723036).

Almost surely, 211111220220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11111220220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13395940058592).

11111220220122 is an abundant number, since it is smaller than the sum of its proper divisors (15680659897062).

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

11111220220122 is a wasteful number, since it uses less digits than its factorization.

11111220220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25857 (or 25843 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11111220220122 its reverse (22102202211111), we get a palindrome (33213422431233).

The spelling of 11111220220122 in words is "eleven trillion, one hundred eleven billion, two hundred twenty million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 83 99 121 166 198 242 249 363 498 726 747 913 1089 1494 1826 2178 2663 2739 5326 5478 7989 8217 10043 15978 16434 20086 23081 23967 29293 30129 46162 47934 58586 60258 69243 87879 90387 138486 175758 180774 207729 221029 253891 263637 322223 415458 442058 507782 527274 644446 663087 761673 966669 1326174 1523346 1915723 1933338 1989261 2285019 2431319 2792801 2900007 3831446 3978522 4570038 4862638 5585602 5747169 5800014 7293957 8378403 11494338 14587914 16756806 17241507 21072953 21881871 25135209 26744509 34483014 42145906 43763742 50270418 53489018 61464703 63218859 80233527 122929406 126437718 160467054 184394109 189656577 231802483 240700581 368788218 379313154 463604966 481401162 553182327 676111733 695407449 1106364654 1352223466 1390814898 2028335199 2086222347 4056670398 4172444694 5101570349 6085005597 7437229063 10203140698 12170011194 14874458126 15304711047 22311687189 30609422094 44623374378 45914133141 56117273839 66935061567 91828266282 112234547678 133870123134 168351821517 336703643034 505055464551 617290012229 1010110929102 1234580024458 1851870036687 3703740073374 5555610110061 11111220220122