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121010211300 = 2235211179204859
BaseRepresentation
bin111000010110011000…
…1010100100111100100
3102120100102001122212210
41300230301110213210
53440312103230200
6131331420443420
711512513552566
oct1605461244744
9376312048783
10121010211300
11473581228a0
121b5520a9570
13b54658b334
145bdd591336
153233a02650
hex1c2cc549e4

121010211300 has 144 divisors (see below), whose sum is σ = 384087916800. Its totient is φ = 29171779200.

The previous prime is 121010211269. The next prime is 121010211313. The reversal of 121010211300 is 3112010121.

121010211300 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 (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488271 + ... + 693129.

It is an arithmetic number, because the mean of its divisors is an integer number (2667277200).

Almost surely, 2121010211300 is an apocalyptic number.

121010211300 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 121010211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192043958400).

121010211300 is an abundant number, since it is smaller than the sum of its proper divisors (263077705500).

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

121010211300 is a wasteful number, since it uses less digits than its factorization.

121010211300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205066 (or 205059 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 121010211300 its reverse (3112010121), we get a palindrome (124122221421).

The spelling of 121010211300 in words is "one hundred twenty-one billion, ten million, two hundred eleven thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 179 220 275 300 330 358 537 550 660 716 825 895 1074 1100 1650 1790 1969 2148 2685 3300 3580 3938 4475 5370 5907 7876 8950 9845 10740 11814 13425 17900 19690 23628 26850 29535 39380 49225 53700 59070 98450 118140 147675 196900 204859 295350 409718 590700 614577 819436 1024295 1229154 2048590 2253449 2458308 3072885 4097180 4506898 5121475 6145770 6760347 9013796 10242950 11267245 12291540 13520694 15364425 20485900 22534490 27041388 30728850 33801735 36669761 45068980 56336225 61457700 67603470 73339522 110009283 112672450 135206940 146679044 169008675 183348805 220018566 225344900 338017350 366697610 403367371 440037132 550046415 676034700 733395220 806734742 916744025 1100092830 1210102113 1613469484 1833488050 2016836855 2200185660 2420204226 2750232075 3666976100 4033673710 4840408452 5500464150 6050510565 8067347420 10084184275 11000928300 12101021130 20168368550 24202042260 30252552825 40336737100 60505105650 121010211300