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131212302131120 = 24571938213227423
BaseRepresentation
bin11101110101011000111110…
…101010001001111110110000
3122012120202212221100102002012
4131311120332222021332300
5114144240243321143440
61143022033251542052
736431530110615140
oct3565307652117660
9565522787312065
10131212302131120
1138898908945531
12128719a65ba928
13582a36179a502
1424589d04b0920
1510281ee2d4e65
hex77563ea89fb0

131212302131120 has 160 divisors (see below), whose sum is σ = 367095984353280. Its totient is φ = 42608167050240.

The previous prime is 131212302131077. The next prime is 131212302131123. The reversal of 131212302131120 is 21131203212131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131212302131123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39041729 + ... + 42269151.

It is an arithmetic number, because the mean of its divisors is an integer number (2294349902208).

Almost surely, 2131212302131120 is an apocalyptic number.

131212302131120 is a gapful number since it is divisible by the number (10) 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 131212302131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183547992176640).

131212302131120 is an abundant number, since it is smaller than the sum of its proper divisors (235883682222160).

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

131212302131120 is a wasteful number, since it uses less digits than its factorization.

131212302131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3231283 (or 3231277 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131212302131120 its reverse (21131203212131), we get a palindrome (152343505343251).

The spelling of 131212302131120 in words is "one hundred thirty-one trillion, two hundred twelve billion, three hundred two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1064 1330 1520 2128 2660 3821 5320 7642 10640 15284 19105 26747 30568 38210 53494 61136 72599 76420 106988 133735 145198 152840 213976 267470 290396 305680 362995 427952 508193 534940 580792 725990 1016386 1069880 1161584 1451980 2032772 2139760 2540965 2903960 3227423 4065544 5081930 5807920 6454846 8131088 10163860 12909692 16137115 20327720 22591961 25819384 32274230 40655440 45183922 51638768 61321037 64548460 90367844 112959805 122642074 129096920 180735688 225919610 245284148 258193840 306605185 361471376 429247259 451839220 490568296 613210370 858494518 903678440 981136592 1226420740 1716989036 1807356880 2146236295 2452841480 3433978072 4292472590 4905682960 6867956144 8584945180 12331983283 17169890360 24663966566 34339780720 49327933132 61659916415 86323882981 98655866264 123319832830 172647765962 197311732528 234307682377 246639665660 345295531924 431619414905 468615364754 493279331320 690591063848 863238829810 937230729508 986558662640 1171538411885 1381182127696 1640153776639 1726477659620 1874461459016 2343076823770 3280307553278 3452955319240 3748922918032 4686153647540 6560615106556 6905910638480 8200768883195 9372307295080 13121230213112 16401537766390 18744614590160 26242460426224 32803075532780 65606151065560 131212302131120