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111121011201102 = 23724717837450847
BaseRepresentation
bin11001010001000001100000…
…011001100101010001001110
3112120110001202022220011020020
4121101001200121211101032
5104031101312331413402
61032200142100203010
732256141150513300
oct3121014031452116
9476401668804206
10111121011201102
11324521799a45a1
1210567bb5999466
134a008880b39b6
141d623ddb15970
15cca7a4ac48bc
hex65106066544e

111121011201102 has 96 divisors (see below), whose sum is σ = 264042384519168. Its totient is φ = 31071541685184.

The previous prime is 111121011201091. The next prime is 111121011201107. The reversal of 111121011201102 is 201102110121111.

It is a super-2 number, since 2×1111210112011022 (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 (111121011201107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246246243 + ... + 246697089.

It is an arithmetic number, because the mean of its divisors is an integer number (2750441505408).

Almost surely, 2111121011201102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111121011201102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132021192259584).

111121011201102 is an abundant number, since it is smaller than the sum of its proper divisors (152921373318066).

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

111121011201102 is a wasteful number, since it uses less digits than its factorization.

111121011201102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468750 (or 468743 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 111121011201102 its reverse (201102110121111), we get a palindrome (312223121322213).

It can be divided in two parts, 11112101 and 1201102, that added together give a triangular number (12313203 = T4962).

The spelling of 111121011201102 in words is "one hundred eleven trillion, one hundred twenty-one billion, eleven million, two hundred one thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 47 49 94 98 141 147 282 294 329 658 987 1974 2303 4606 6909 13818 17837 35674 53511 107022 124859 249718 374577 450847 749154 838339 874013 901694 1352541 1676678 1748026 2515017 2622039 2705082 3155929 5030034 5244078 5868373 6311858 9467787 11736746 17605119 18935574 21189809 22091503 35210238 41078611 42379618 44183006 63569427 66274509 82157222 123235833 127138854 132549018 148328663 246471666 296657326 444985989 889971978 1038300641 2076601282 3114901923 6229803846 8041757939 16083515878 24125273817 48250547634 56292305573 112584611146 168876916719 337753833438 377962623133 394046139011 755925246266 788092278022 1133887869399 1182138417033 2267775738798 2364276834066 2645738361931 5291476723862 7937215085793 15874430171586 18520168533517 37040337067034 55560505600551 111121011201102