Search a number
-
+
20112426335100 = 22352116781898787
BaseRepresentation
bin1001001001010110010100…
…00001101111101101111100
32122012201200120110002001210
410210223022001233231330
510114010222120210400
6110435304320404420
74144034450061411
oct444531201575574
978181616402053
1020112426335100
1164546a5377670
122309b0aa76710
13b2b79438a388
144d7637798108
1524d284ea7950
hex124aca06fb7c

20112426335100 has 144 divisors (see below), whose sum is σ = 63491563529856. Its totient is φ = 4875015264000.

The previous prime is 20112426335077. The next prime is 20112426335167. The reversal of 20112426335100 is 153362421102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 21927907 + ... + 22826693.

It is an arithmetic number, because the mean of its divisors is an integer number (440913635624).

Almost surely, 220112426335100 is an apocalyptic number.

20112426335100 is a gapful number since it is divisible by the number (20) 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 20112426335100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31745781764928).

20112426335100 is an abundant number, since it is smaller than the sum of its proper divisors (43379137194756).

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

20112426335100 is a wasteful number, since it uses less digits than its factorization.

20112426335100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905596 (or 905589 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 20112426335100 its reverse (153362421102), we get a palindrome (20265788756202).

The spelling of 20112426335100 in words is "twenty trillion, one hundred twelve billion, four hundred twenty-six million, three hundred thirty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 6781 13562 20343 27124 33905 40686 67810 74591 81372 101715 135620 149182 169525 203430 223773 298364 339050 372955 406860 447546 508575 678100 745910 895092 898787 1017150 1118865 1491820 1797574 1864775 2034300 2237730 2696361 3595148 3729550 4475460 4493935 5392722 5594325 7459100 8987870 9886657 10785444 11188650 13481805 17975740 19773314 22377300 22469675 26963610 29659971 39546628 44939350 49433285 53927220 59319942 67409025 89878700 98866570 118639884 134818050 148299855 197733140 247166425 269636100 296599710 494332850 593199420 741499275 988665700 1482998550 2965997100 6094674647 12189349294 18284023941 24378698588 30473373235 36568047882 60946746470 67041421117 73136095764 91420119705 121893492940 134082842234 152366866175 182840239410 201124263351 268165684468 304733732350 335207105585 365680478820 402248526702 457100598525 609467464700 670414211170 804497053404 914201197050 1005621316755 1340828422340 1676035527925 1828402394100 2011242633510 3352071055850 4022485267020 5028106583775 6704142111700 10056213167550 20112426335100