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212230024401320 = 235197919917762867
BaseRepresentation
bin110000010000010110100111…
…001101110001000110101000
31000211102222210022012110112222
4300100112213031301012220
5210304134042221320240
62031213043252453212
762463053564433002
oct6020264715610650
91024388708173488
10212230024401320
116169427aa49462
121b97772591a208
139156289427573
143a59db9081372
1519808cb27ceb5
hexc105a73711a8

212230024401320 has 128 divisors (see below), whose sum is σ = 511570598400000. Its totient is φ = 79006954321152.

The previous prime is 212230024401223. The next prime is 212230024401331. The reversal of 212230024401320 is 23104420032212.

It is a self number, because there is not a number n which added to its sum of digits gives 212230024401320.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3066527 + ... + 20829393.

It is an arithmetic number, because the mean of its divisors is an integer number (3996645300000).

Almost surely, 2212230024401320 is an apocalyptic number.

212230024401320 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 212230024401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255785299200000).

212230024401320 is an abundant number, since it is smaller than the sum of its proper divisors (299340573998680).

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

212230024401320 is a wasteful number, since it uses less digits than its factorization.

212230024401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17763175 (or 17763171 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 212230024401320 its reverse (23104420032212), we get a palindrome (235334444433532).

The spelling of 212230024401320 in words is "two hundred twelve trillion, two hundred thirty billion, twenty-four million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 199 316 380 395 398 632 760 790 796 995 1501 1580 1592 1990 3002 3160 3781 3980 6004 7505 7562 7960 12008 15010 15124 15721 18905 30020 30248 31442 37810 60040 62884 75620 78605 125768 151240 157210 298699 314420 597398 628840 1194796 1493495 2389592 2986990 5973980 11947960 17762867 35525734 71051468 88814335 142102936 177628670 337494473 355257340 674988946 710514680 1349977892 1403266493 1687472365 2699955784 2806532986 3374944730 3534810533 5613065972 6749889460 7016332465 7069621066 11226131944 13499778920 14032664930 14139242132 17674052665 26662063367 28065329860 28278484264 35348105330 53324126734 56130659720 67161400127 70696210660 106648253468 133310316835 134322800254 141392421320 213296506936 266620633670 268645600508 279250032107 335807000635 533241267340 537291201016 558500064214 671614001270 1066482534680 1117000128428 1343228002540 1396250160535 2234000256856 2686456005080 2792500321070 5305750610033 5585000642140 10611501220066 11170001284280 21223002440132 26528753050165 42446004880264 53057506100330 106115012200660 212230024401320