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31133102310200 = 235211211931078367
BaseRepresentation
bin1110001010000101111011…
…00000010000001100111000
311002020021222102121010010202
413011002331200100030320
513040041043142411300
6150114203314101332
76362202204201602
oct705027540201470
9132207872533122
1031133102310200
119a13524685700
1235a9978b7a848
13144aaba236007
14798bc8cd8172
1538ec9b906ad5
hex1c50bd810338

31133102310200 has 144 divisors (see below), whose sum is σ = 79629852738240. Its totient is φ = 11311627993600.

The previous prime is 31133102310181. The next prime is 31133102310227. The reversal of 31133102310200 is 201320133113.

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 35 ways as a sum of consecutive naturals, for example, 28331417 + ... + 29409783.

It is an arithmetic number, because the mean of its divisors is an integer number (552985088460).

Almost surely, 231133102310200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31133102310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39814926369120).

31133102310200 is an abundant number, since it is smaller than the sum of its proper divisors (48496750428040).

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

31133102310200 is a wasteful number, since it uses less digits than its factorization.

31133102310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079598 (or 1079578 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31133102310200 its reverse (201320133113), we get a palindrome (31334422443313).

The spelling of 31133102310200 in words is "thirty-one trillion, one hundred thirty-three billion, one hundred two million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1193 1210 2200 2386 2420 3025 4772 4840 5965 6050 9544 11930 12100 13123 23860 24200 26246 29825 47720 52492 59650 65615 104984 119300 131230 144353 238600 262460 288706 328075 524920 577412 656150 721765 1078367 1154824 1312300 1443530 2156734 2624600 2887060 3608825 4313468 5391835 5774120 7217650 8626936 10783670 11862037 14435300 21567340 23724074 26959175 28870600 43134680 47448148 53918350 59310185 94896296 107836700 118620370 130482407 215673400 237240740 260964814 296550925 474481480 521929628 593101850 652412035 1043859256 1186203700 1286491831 1304824070 2372407400 2572983662 2609648140 3262060175 5145967324 5219296280 6432459155 6524120350 10291934648 12864918310 13048240700 14151410141 25729836620 26096481400 28302820282 32162295775 51459673240 56605640564 64324591550 70757050705 113211281128 128649183100 141514101410 155665511551 257298366200 283028202820 311331023102 353785253525 566056405640 622662046204 707570507050 778327557755 1245324092408 1415141014100 1556655115510 2830282028200 3113310231020 3891637788775 6226620462040 7783275577550 15566551155100 31133102310200