Search a number
-
+
20111110010100 = 22335246316087601
BaseRepresentation
bin1001001001010011110111…
…00100010111010011110100
32122012121021211112211122000
410210221323210113103310
510114000023130310400
6110434525535135300
74143660024356244
oct444517344272364
978177254484560
1020111110010100
11645408a33a16a
122309802074530
13b2b614757945
144d7550a27b24
1524d209640600
hex124a7b9174f4

20111110010100 has 144 divisors (see below), whose sum is σ = 64793138807040. Its totient is φ = 5351379264000.

The previous prime is 20111110010087. The next prime is 20111110010137. The reversal of 20111110010100 is 101001111102.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 6793701 + ... + 9293900.

Almost surely, 220111110010100 is an apocalyptic number.

20111110010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20111110010100 is an abundant number, since it is smaller than the sum of its proper divisors (44682028796940).

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

20111110010100 is a wasteful number, since it uses less digits than its factorization.

20111110010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16088087 (or 16088074 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 20111110010100 its reverse (101001111102), we get a palindrome (20212111121202).

The spelling of 20111110010100 in words is "twenty trillion, one hundred eleven billion, one hundred ten million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 463 540 675 900 926 1350 1389 1852 2315 2700 2778 4167 4630 5556 6945 8334 9260 11575 12501 13890 16668 20835 23150 25002 27780 34725 41670 46300 50004 62505 69450 83340 104175 125010 138900 208350 250020 312525 416700 625050 1250100 16087601 32175202 48262803 64350404 80438005 96525606 144788409 160876010 193051212 241314015 289576818 321752020 402190025 434365227 482628030 579153636 723942045 804380050 868730454 965256060 1206570075 1447884090 1608760100 1737460908 2171826135 2413140150 2895768180 3619710225 4343652270 4826280300 7239420450 7448559263 8687304540 10859130675 14478840900 14897118526 21718261350 22345677789 29794237052 37242796315 43436522700 44691355578 67037033367 74485592630 89382711156 111728388945 134074066734 148971185260 186213981575 201111100101 223456777890 268148133468 335185166835 372427963150 402222200202 446913555780 558641944725 670370333670 744855926300 804444400404 1005555500505 1117283889450 1340740667340 1675925834175 2011111001010 2234567778900 3351851668350 4022222002020 5027777502525 6703703336700 10055555005050 20111110010100