Search a number
-
+
220113100010100 = 2235211292300032393
BaseRepresentation
bin110010000011000100010011…
…001000101111001001110100
31001212100121101101201101000010
4302003010103020233021310
5212322313112100310400
62100050321233220220
764235434545506253
oct6203042310571164
91055317341641003
10220113100010100
1164153494689a10
122082b487a01670
1395a876509c2cb
143c4d760a6279a
151a6a9a8269450
hexc8311322f274

220113100010100 has 144 divisors (see below), whose sum is σ = 718714122477120. Its totient is φ = 51520725580800.

The previous prime is 220113100010099. The next prime is 220113100010119. The reversal of 220113100010100 is 1010001311022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1149920497 + ... + 1150111896.

It is an arithmetic number, because the mean of its divisors is an integer number (4991070294980).

Almost surely, 2220113100010100 is an apocalyptic number.

220113100010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220113100010100 is an abundant number, since it is smaller than the sum of its proper divisors (498601022467020).

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

220113100010100 is a wasteful number, since it uses less digits than its factorization.

220113100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2300032450 (or 2300032443 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 220113100010100 its reverse (1010001311022), we get a palindrome (221123101321122).

The spelling of 220113100010100 in words is "two hundred twenty trillion, one hundred thirteen billion, one hundred million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 29 30 33 44 50 55 58 60 66 75 87 100 110 116 132 145 150 165 174 220 275 290 300 319 330 348 435 550 580 638 660 725 825 870 957 1100 1276 1450 1595 1650 1740 1914 2175 2900 3190 3300 3828 4350 4785 6380 7975 8700 9570 15950 19140 23925 31900 47850 95700 2300032393 4600064786 6900097179 9200129572 11500161965 13800194358 23000323930 25300356323 27600388716 34500485895 46000647860 50600712646 57500809825 66700939397 69000971790 75901068969 101201425292 115001619650 126501781615 133401878794 138001943580 151802137938 172502429475 200102818191 230003239300 253003563230 266803757588 303604275876 333504696985 345004858950 379505344845 400205636382 506007126460 632508908075 667009393970 690009717900 733710333367 759010689690 800411272764 1000514090955 1265017816150 1334018787940 1467420666734 1518021379380 1667523484925 1897526724225 2001028181910 2201131000101 2530035632300 2934841333468 3335046969850 3668551666835 3795053448450 4002056363820 4402262000202 5002570454775 6670093939700 7337103333670 7590106896900 8804524000404 10005140909550 11005655000505 14674206667340 18342758334175 20010281819100 22011310001010 36685516668350 44022620002020 55028275002525 73371033336700 110056550005050 220113100010100