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110012022210020 = 22573112828989317
BaseRepresentation
bin11001000000111000101011…
…100000010011110111100100
3112102112001020222110022212212
4121000320223200103313210
5103404414110141210040
61025550454133302552
732113051315565540
oct3100705340236744
9472461228408785
10110012022210020
1132064922591557
1210409097794a58
134950120c112b8
141d248788a0a20
15cab9e9dbdd65
hex640e2b813de4

110012022210020 has 96 divisors (see below), whose sum is σ = 264890149655040. Its totient is φ = 37595376599040.

The previous prime is 110012022210007. The next prime is 110012022210029. The reversal of 110012022210020 is 20012220210011.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 110012022209977 and 110012022210004.

It is not an unprimeable number, because it can be changed into a prime (110012022210029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231658402 + ... + 1231747718.

It is an arithmetic number, because the mean of its divisors is an integer number (2759272392240).

Almost surely, 2110012022210020 is an apocalyptic number.

110012022210020 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 110012022210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132445074827520).

110012022210020 is an abundant number, since it is smaller than the sum of its proper divisors (154878127445020).

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

110012022210020 is a wasteful number, since it uses less digits than its factorization.

110012022210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117933 (or 117931 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110012022210020 its reverse (20012220210011), we get a palindrome (130024242420031).

The spelling of 110012022210020 in words is "one hundred ten trillion, twelve billion, twenty-two million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 311 622 1244 1555 2177 3110 4354 6220 8708 10885 21770 28289 43540 56578 89317 113156 141445 178634 198023 282890 357268 396046 446585 565780 625219 792092 893170 990115 1250438 1786340 1980230 2500876 3126095 3960460 6252190 8797879 12504380 17595758 27777587 35191516 43989395 55555174 61585153 87978790 111110348 123170306 138887935 175957580 194443109 246340612 277775870 307925765 388886218 555551740 615851530 777772436 972215545 1231703060 1944431090 2526688613 3888862180 5053377226 10106754452 12633443065 17686820291 25266886130 35373640582 50533772260 70747281164 88434101455 176868202910 353736405820 785800158643 1571600317286 3143200634572 3929000793215 5500601110501 7858001586430 11001202221002 15716003172860 22002404442004 27503005552505 55006011105010 110012022210020