Search a number
-
+
122201021010200 = 235211163340772507
BaseRepresentation
bin11011110010010000100100…
…011100101101000100011000
3121000200022012021010021002112
4123302100210130231010120
5112004120142334311300
61111522212443451452
734511506135114316
oct3362204434550430
9530608167107075
10122201021010200
1135a3418664a280
1211857462826b88
135325678695552
1422267bd45b0b6
15e1dae0538e35
hex6f242472d118

122201021010200 has 96 divisors (see below), whose sum is σ = 311847737520960. Its totient is φ = 44164116777600.

The previous prime is 122201021010169. The next prime is 122201021010203. The reversal of 122201021010200 is 2010120102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122201021010203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170027654 + ... + 170744853.

It is an arithmetic number, because the mean of its divisors is an integer number (3248413932510).

Almost surely, 2122201021010200 is an apocalyptic number.

122201021010200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122201021010200 is an abundant number, since it is smaller than the sum of its proper divisors (189646716510760).

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

122201021010200 is a wasteful number, since it uses less digits than its factorization.

122201021010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340772697 (or 340772688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122201021010200 its reverse (2010120102221), we get a palindrome (124211141112421).

The spelling of 122201021010200 in words is "one hundred twenty-two trillion, two hundred one billion, twenty-one million, ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 163 200 220 275 326 440 550 652 815 1100 1304 1630 1793 2200 3260 3586 4075 6520 7172 8150 8965 14344 16300 17930 32600 35860 44825 71720 89650 179300 358600 340772507 681545014 1363090028 1703862535 2726180056 3407725070 3748497577 6815450140 7496995154 8519312675 13630900280 14993990308 17038625350 18742487885 29987980616 34077250700 37484975770 55545918641 68154501400 74969951540 93712439425 111091837282 149939903080 187424878850 222183674564 277729593205 374849757700 444367349128 555459186410 611005105051 749699515400 1110918372820 1222010210102 1388647966025 2221836745640 2444020420204 2777295932050 3055025525255 4888040840408 5554591864100 6110051050510 11109183728200 12220102101020 15275127626275 24440204202040 30550255252550 61100510505100 122201021010200