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110001222011220 = 223541358312480029
BaseRepresentation
bin11001000000101110100111…
…110000110100100101010100
3112102111000101021222101100220
4121000232213300310211110
5103404230000313324340
61025541510323434340
732112216553451511
oct3100564760644524
9472430337871326
10110001222011220
1132060290110321
1210406b828259b0
13494c0bc501617
141d24132360308
15cab5b6b49ed0
hex640ba7c34954

110001222011220 has 96 divisors (see below), whose sum is σ = 315603784581120. Its totient is φ = 28610214589440.

The previous prime is 110001222011143. The next prime is 110001222011243. The reversal of 110001222011220 is 22110222100011.

It is a super-2 number, since 2×1100012220112202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 110001222011220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2574166 + ... + 15054194.

It is an arithmetic number, because the mean of its divisors is an integer number (3287539422720).

Almost surely, 2110001222011220 is an apocalyptic number.

110001222011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110001222011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157801892290560).

110001222011220 is an abundant number, since it is smaller than the sum of its proper divisors (205602562569900).

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

110001222011220 is a wasteful number, since it uses less digits than its factorization.

110001222011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12483665 (or 12483663 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 110001222011220 its reverse (22110222100011), we get a palindrome (132111444111231).

The spelling of 110001222011220 in words is "one hundred ten trillion, one billion, two hundred twenty-two million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2460 3583 7166 10749 14332 17915 21498 35830 42996 53745 71660 107490 146903 214980 293806 440709 587612 734515 881418 1469030 1762836 2203545 2938060 4407090 8814180 12480029 24960058 37440087 49920116 62400145 74880174 124800290 149760348 187200435 249600580 374400870 511681189 748801740 1023362378 1535043567 2046724756 2558405945 3070087134 5116811890 6140174268 7675217835 10233623780 15350435670 30700871340 44715943907 89431887814 134147831721 178863775628 223579719535 268295663442 447159439070 536591326884 670739158605 894318878140 1341478317210 1833353700187 2682956634420 3666707400374 5500061100561 7333414800748 9166768500935 11000122201122 18333537001870 22000244402244 27500305502805 36667074003740 55000611005610 110001222011220