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21210001121100 = 223521110163636367
BaseRepresentation
bin1001101001010010101101…
…00101010001111101001100
32210002122201110001012121210
410310221112211101331030
510240001040241333400
6113035423501254420
74316241412606251
oct464512645217514
983078643035553
1021210001121100
116838124764470
122466782564410
13bab12c88c27c
145347d8b1b428
1526bac2aa1950
hex134a56951f4c

21210001121100 has 144 divisors (see below), whose sum is σ = 67609313726976. Its totient is φ = 5090909280000.

The previous prime is 21210001121021. The next prime is 21210001121117. The reversal of 21210001121100 is 112110001212.

21210001121100 is digitally balanced in base 6, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31484884 + ... + 32151483.

It is an arithmetic number, because the mean of its divisors is an integer number (469509123104).

Almost surely, 221210001121100 is an apocalyptic number.

21210001121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210001121100 is an abundant number, since it is smaller than the sum of its proper divisors (46399312605876).

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

21210001121100 is a wasteful number, since it uses less digits than its factorization.

21210001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63636496 (or 63636489 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21210001121100 its reverse (112110001212), we get a palindrome (21322111122312).

It can be divided in two parts, 2121000112 and 1100, that added together give a palindrome (2121001212).

The spelling of 21210001121100 in words is "twenty-one trillion, two hundred ten billion, one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 101 110 132 150 165 202 220 275 300 303 330 404 505 550 606 660 825 1010 1100 1111 1212 1515 1650 2020 2222 2525 3030 3300 3333 4444 5050 5555 6060 6666 7575 10100 11110 13332 15150 16665 22220 27775 30300 33330 55550 66660 83325 111100 166650 333300 63636367 127272734 190909101 254545468 318181835 381818202 636363670 700000037 763636404 954545505 1272727340 1400000074 1590909175 1909091010 2100000111 2800000148 3181818350 3500000185 3818182020 4200000222 4772727525 6363636700 6427273067 7000000370 8400000444 9545455050 10500000555 12854546134 14000000740 17500000925 19090910100 19281819201 21000001110 25709092268 32136365335 35000001850 38563638402 42000002220 52500002775 64272730670 70000003700 70700003737 77127276804 96409096005 105000005550 128545461340 141400007474 160681826675 192818192010 210000011100 212100011211 282800014948 321363653350 353500018685 385636384020 424200022422 482045480025 642727306700 707000037370 848400044844 964090960050 1060500056055 1414000074740 1767500093425 1928181920100 2121000112110 3535000186850 4242000224220 5302500280275 7070000373700 10605000560550 21210001121100