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20012220113100 = 22352478317100077
BaseRepresentation
bin1001000110011011101010…
…10001010110000011001100
32121212011001000202120102020
410203031311101112003030
510110340011322104400
6110321253105330140
74133556320202525
oct443156521260314
977764030676366
1020012220113100
116416153599966
1222b2604036950
13b221b4c255a7
144d284d1b584c
1524a86cad52a0
hex1233754560cc

20012220113100 has 144 divisors (see below), whose sum is σ = 59846442582528. Its totient is φ = 5160118933760.

The previous prime is 20012220113087. The next prime is 20012220113101. The reversal of 20012220113100 is 131102221002.

It is a super-2 number, since 2×200122201131002 (a number of 27 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 20012220113100.

It is not an unprimeable number, because it can be changed into a prime (20012220113101) 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, 7379739 + ... + 9720338.

It is an arithmetic number, because the mean of its divisors is an integer number (415600295712).

Almost surely, 220012220113100 is an apocalyptic number.

20012220113100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20012220113100 is an abundant number, since it is smaller than the sum of its proper divisors (39834222469428).

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

20012220113100 is a wasteful number, since it uses less digits than its factorization.

20012220113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17100224 (or 17100217 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 20012220113100 its reverse (131102221002), we get a palindrome (20143322334102).

The spelling of 20012220113100 in words is "twenty trillion, twelve billion, two hundred twenty million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 83 94 100 141 150 166 188 235 249 282 300 332 415 470 498 564 705 830 940 996 1175 1245 1410 1660 2075 2350 2490 2820 3525 3901 4150 4700 4980 6225 7050 7802 8300 11703 12450 14100 15604 19505 23406 24900 39010 46812 58515 78020 97525 117030 195050 234060 292575 390100 585150 1170300 17100077 34200154 51300231 68400308 85500385 102600462 171000770 205200924 256501155 342001540 427501925 513002310 803703619 855003850 1026004620 1282505775 1419306391 1607407238 1710007700 2411110857 2565011550 2838612782 3214814476 4018518095 4257919173 4822221714 5130023100 5677225564 7096531955 8037036190 8515838346 9644443428 12055554285 14193063910 16074072380 17031676692 20092590475 21289595865 24111108570 28386127820 35482659775 40185180950 42579191730 48222217140 60277771425 66707400377 70965319550 80370361900 85158383460 106447979325 120555542850 133414800754 141930639100 200122201131 212895958650 241111085700 266829601508 333537001885 400244402262 425791917300 667074003770 800488804524 1000611005655 1334148007540 1667685009425 2001222011310 3335370018850 4002444022620 5003055028275 6670740037700 10006110056550 20012220113100