Search a number
-
+
203220003331100 = 225274134487205319
BaseRepresentation
bin101110001101001111011000…
…000111000001110000011100
3222122112122100102222112011202
4232031033120013001300130
5203114024031323043400
62000113551455535032
760543106062115310
oct5615173007016034
9878478312875152
10203220003331100
1159830134a44a18
121a961493b2a478
1389517443b0b32
143827c8750db40
151876342e304d5
hexb8d3d81c1c1c

203220003331100 has 144 divisors (see below), whose sum is σ = 516295424977920. Its totient is φ = 67973726860800.

The previous prime is 203220003331097. The next prime is 203220003331231. The reversal of 203220003331100 is 1133300022302.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 989674241 + ... + 989879559.

It is an arithmetic number, because the mean of its divisors is an integer number (3585384895680).

Almost surely, 2203220003331100 is an apocalyptic number.

203220003331100 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 203220003331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258147712488960).

203220003331100 is an abundant number, since it is smaller than the sum of its proper divisors (313075421646820).

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

203220003331100 is a wasteful number, since it uses less digits than its factorization.

203220003331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239868 (or 239861 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 203220003331100 its reverse (1133300022302), we get a palindrome (204353303353402).

The spelling of 203220003331100 in words is "two hundred three trillion, two hundred twenty billion, three million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 41 50 70 82 100 140 164 175 205 287 350 410 574 700 820 1025 1148 1435 2050 2870 4100 5740 7175 14350 28700 34487 68974 137948 172435 205319 241409 344870 410638 482818 689740 821276 862175 965636 1026595 1207045 1413967 1437233 1724350 2053190 2414090 2827934 2874466 3448700 4106380 4828180 5132975 5655868 5748932 6035225 7069835 7186165 8418079 9897769 10265950 12070450 14139670 14372330 16836158 19795538 20531900 24140900 28279340 28744660 33672316 35349175 35930825 39591076 42090395 49488845 58926553 70698350 71861650 84180790 98977690 117853106 141396700 143723300 168361580 197955380 210451975 235706212 247444225 294632765 420903950 494888450 589265530 841807900 989776900 1178531060 1473163825 2946327650 5892655300 7080836353 14161672706 28323345412 35404181765 49565854471 70808363530 99131708942 141616727060 177020908825 198263417884 247829272355 290314290473 354041817650 495658544710 580628580946 708083635300 991317089420 1161257161892 1239146361775 1451571452365 2032200033311 2478292723550 2903142904730 4064400066622 4956585447100 5806285809460 7257857261825 8128800133244 10161000166555 14515714523650 20322000333110 29031429047300 40644000666220 50805000832775 101610001665550 203220003331100