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110122002022212 = 223217180199910001
BaseRepresentation
bin11001000010011111000110…
…110011111111111101000100
3112102220120010122212122210100
4121002133012303333331010
5103413214330004202322
61030113203242324100
732124023603555445
oct3102370663777504
9472816118778710
10110122002022212
11320a752a2a3224
121042646b7b9630
13495a5ca19044b
141d29d0d10b2cc
15cae7d5329dac
hex6427c6cfff44

110122002022212 has 72 divisors (see below), whose sum is σ = 294901955063352. Its totient is φ = 34528896000000.

The previous prime is 110122002022163. The next prime is 110122002022217. The reversal of 110122002022212 is 212220200221011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 12816285440256 + 97305716581956 = 3579984^2 + 9864366^2 .

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

It is not an unprimeable number, because it can be changed into a prime (110122002022217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48852789 + ... + 51057212.

It is an arithmetic number, because the mean of its divisors is an integer number (4095860486991).

Almost surely, 2110122002022212 is an apocalyptic number.

110122002022212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110122002022212 is an abundant number, since it is smaller than the sum of its proper divisors (184779953041140).

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

110122002022212 is a wasteful number, since it uses less digits than its factorization.

110122002022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99911829 (or 99911824 counting only the distinct ones).

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

Adding to 110122002022212 its reverse (212220200221011), we get a palindrome (322342202243223).

The spelling of 110122002022212 in words is "one hundred ten trillion, one hundred twenty-two billion, two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1801 3602 5403 7204 10806 16209 21612 30617 32418 61234 64836 91851 122468 183702 275553 367404 551106 1102212 99910001 199820002 299730003 399640004 599460006 899190009 1198920012 1698470017 1798380018 3396940034 3596760036 5095410051 6793880068 10190820102 15286230153 20381640204 30572460306 61144920612 179937911801 359875823602 539813735403 719751647204 1079627470806 1619441206209 2159254941612 3058944500617 3238882412418 6117889001234 6477764824836 9176833501851 12235778002468 18353667003702 27530500505553 36707334007404 55061001011106 110122002022212