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111022022020122 = 236738312567551
BaseRepresentation
bin11001001111100101010100…
…001011110100110000011010
3112120002121020121021202000000
4121033211110023310300122
5104022441100114120442
61032042451322353430
732246035126406103
oct3117452413646032
9476077217252000
10111022022020122
11324141a2101814
121055098a65b876
1349c4440b2ba25
141d5b6cd01b3aa
15cc7e0e4a6d4c
hex64f9542f4c1a

111022022020122 has 112 divisors (see below), whose sum is σ = 256155162697728. Its totient is φ = 36060624187200.

The previous prime is 111022022020103. The next prime is 111022022020153. The reversal of 111022022020122 is 221020220220111.

It is a happy number.

111022022020122 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 220 + 220 + 201 + 22 = 666.

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 = 111022022020095 and 111022022020104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2550247 + ... + 15117797.

It is an arithmetic number, because the mean of its divisors is an integer number (2287099666944).

Almost surely, 2111022022020122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111022022020122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128077581348864).

111022022020122 is an abundant number, since it is smaller than the sum of its proper divisors (145133140677606).

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

111022022020122 is an equidigital number, since it uses as much as digits as its factorization.

111022022020122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12567727 (or 12567712 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 111022022020122 its reverse (221020220220111), we get a palindrome (332042242240233).

The spelling of 111022022020122 in words is "one hundred eleven trillion, twenty-two billion, twenty-two million, twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 83 146 162 166 219 243 249 438 486 498 657 729 747 1314 1458 1494 1971 2241 3942 4482 5913 6059 6723 11826 12118 13446 17739 18177 20169 35478 36354 40338 53217 54531 60507 106434 109062 121014 163593 327186 490779 981558 1472337 2944674 4417011 8834022 12567551 25135102 37702653 75405306 113107959 226215918 339323877 678647754 917431223 1017971631 1043106733 1834862446 2035943262 2086213466 2752293669 3053914893 3129320199 5504587338 6107829786 6258640398 8256881007 9161744679 9387960597 16513762014 18323489358 18775921194 24770643021 28163881791 49541286042 56327763582 74311929063 76146791509 84491645373 148623858126 152293583018 168983290746 222935787189 228440374527 253474936119 445871574378 456880749054 506949872238 668807361567 685321123581 760424808357 1337614723134 1370642247162 1520849616714 2055963370743 4111926741486 6167890112229 12335780224458 18503670336687 37007340673374 55511011010061 111022022020122