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200131003100 = 225275924120107
BaseRepresentation
bin1011101001100010111…
…1001100001011011100
3201010120110210022222002
42322120233030023130
511234332014044400
6231534445541432
720313301313150
oct2723057141334
9633513708862
10200131003100
1177969808826
1232953574878
1315b454c93c2
149987663060
155314beeed5
hex2e98bcc2dc

200131003100 has 144 divisors (see below), whose sum is σ = 506856725760. Its totient is φ = 67170124800.

The previous prime is 200131003043. The next prime is 200131003151. The reversal of 200131003100 is 1300131002.

It is a super-2 number, since 2×2001310031002 (a number of 23 digits) contains 22 as substring.

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, 9943247 + ... + 9963353.

Almost surely, 2200131003100 is an apocalyptic number.

200131003100 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 200131003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253428362880).

200131003100 is an abundant number, since it is smaller than the sum of its proper divisors (306725722660).

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

200131003100 is a wasteful number, since it uses less digits than its factorization.

200131003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20428 (or 20421 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 200131003100 its reverse (1300131002), we get a palindrome (201431134102).

The spelling of 200131003100 in words is "two hundred billion, one hundred thirty-one million, three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 59 70 100 118 140 175 236 241 295 350 413 482 590 700 826 964 1180 1205 1475 1652 1687 2065 2410 2950 3374 4130 4820 5900 6025 6748 8260 8435 10325 12050 14219 16870 20107 20650 24100 28438 33740 40214 41300 42175 56876 71095 80428 84350 99533 100535 140749 142190 168700 199066 201070 281498 284380 355475 398132 402140 497665 502675 562996 703745 710950 995330 1005350 1186313 1407490 1421900 1990660 2010700 2372626 2488325 2814980 3518725 4745252 4845787 4976650 5931565 7037450 8304191 9691574 9953300 11863130 14074900 16608382 19383148 23726260 24228935 29657825 33216764 33920509 41520955 48457870 59315650 67841018 83041910 96915740 118631300 121144675 135682036 166083820 169602545 207604775 242289350 285901433 339205090 415209550 484578700 571802866 678410180 830419100 848012725 1143605732 1429507165 1696025450 2001310031 2859014330 3392050900 4002620062 5718028660 7147535825 8005240124 10006550155 14295071650 20013100310 28590143300 40026200620 50032750775 100065501550 200131003100