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131212012021020 = 223257223466979899
BaseRepresentation
bin11101110101011000101101…
…010111011110010100011100
3122012120202010201110021211200
4131311120231113132110130
5114144234200034133040
61143021544405515500
736431516655666120
oct3565305527362434
9565522121407750
10131212012021020
113889877a106517
1212871925412b90
13582a316653128
1424589a3b53580
1510281d3acb630
hex77562d5de51c

131212012021020 has 144 divisors (see below), whose sum is σ = 456908077516800. Its totient is φ = 29856826758528.

The previous prime is 131212012021009. The next prime is 131212012021099. The reversal of 131212012021020 is 20120210212131.

131212012021020 is a `hidden beast` number, since 1 + 312 + 1 + 2 + 0 + 120 + 210 + 20 = 666.

131212012021020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 131212012020984 and 131212012021002.

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, 233208970 + ... + 233770929.

Almost surely, 2131212012021020 is an apocalyptic number.

131212012021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212012021020 is an abundant number, since it is smaller than the sum of its proper divisors (325696065495780).

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

131212012021020 is a wasteful number, since it uses less digits than its factorization.

131212012021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466980144 (or 466980139 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 131212012021020 its reverse (20120210212131), we get a palindrome (151332222233151).

The spelling of 131212012021020 in words is "one hundred thirty-one trillion, two hundred twelve billion, twelve million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 223 252 315 420 446 630 669 892 1115 1260 1338 1561 2007 2230 2676 3122 3345 4014 4460 4683 6244 6690 7805 8028 9366 10035 13380 14049 15610 18732 20070 23415 28098 31220 40140 46830 56196 70245 93660 140490 280980 466979899 933959798 1400939697 1867919596 2334899495 2801879394 3268859293 4202819091 4669798990 5603758788 6537718586 7004698485 8405638182 9339597980 9806577879 13075437172 14009396970 16344296465 16811276364 19613155758 21014095455 28018793940 29419733637 32688592930 39226311516 42028190910 49032889395 58839467274 65377185860 84056381820 98065778790 104136517477 117678934548 147098668185 196131557580 208273034954 294197336370 312409552431 416546069908 520682587385 588394672740 624819104862 728955622339 937228657293 1041365174770 1249638209724 1457911244678 1562047762155 1874457314586 2082730349540 2186866867017 2915822489356 3124095524310 3644778111695 3748914629172 4373733734034 4686143286465 6248191048620 6560600601051 7289556223390 8747467468068 9372286572930 10934334335085 13121201202102 14579112446780 18744573145860 21868668670170 26242402404204 32803003005255 43737337340340 65606006010510 131212012021020