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20310200213121 = 3371383241413251
BaseRepresentation
bin1001001111000110101100…
…10001001101111010000001
32122220122011202220001022000
410213203112101031322001
510130230242223304441
6111110213245134213
74164235460232030
oct447432621157201
978818152801260
1020310200213121
116520564597435
122340304b5a369
13b443224300c0
14503039d5c717
152534acca02b6
hex1278d644de81

20310200213121 has 128 divisors (see below), whose sum is σ = 37634628218880. Its totient is φ = 10540056960000.

The previous prime is 20310200213113. The next prime is 20310200213129. The reversal of 20310200213121 is 12131200201302.

20310200213121 is a `hidden beast` number, since 2 + 0 + 310 + 20 + 0 + 21 + 312 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20310200213113) and next prime (20310200213129).

It is not a de Polignac number, because 20310200213121 - 23 = 20310200213113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20310200213094 and 20310200213103.

It is not an unprimeable number, because it can be changed into a prime (20310200213129) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48940746 + ... + 49353996.

It is an arithmetic number, because the mean of its divisors is an integer number (294020532960).

Almost surely, 220310200213121 is an apocalyptic number.

20310200213121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20310200213121 is a deficient number, since it is larger than the sum of its proper divisors (17324428005759).

20310200213121 is a wasteful number, since it uses less digits than its factorization.

20310200213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413604 (or 413598 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20310200213121 its reverse (12131200201302), we get a palindrome (32441400414423).

The spelling of 20310200213121 in words is "twenty trillion, three hundred ten billion, two hundred million, two hundred thirteen thousand, one hundred twenty-one".

Divisors: 1 3 7 9 13 21 27 39 63 83 91 117 189 241 249 273 351 581 723 747 819 1079 1687 1743 2169 2241 2457 3133 3237 5061 5229 6507 7553 9399 9711 15183 15687 20003 21931 22659 28197 29133 45549 60009 65793 67977 84591 140021 180027 197379 203931 260039 413251 420063 540081 592137 780117 1239753 1260189 1820273 2340351 2892757 3719259 3780567 5372263 5460819 7021053 8678271 11157777 16116789 16382457 26034813 34299833 37605841 48350367 49147371 78104439 99593491 102899499 112817523 145051101 240098831 298780473 308698497 338452569 445897829 697154437 720296493 896341419 926095491 1015357707 1294715383 1337693487 2091463311 2160889479 2689024257 3121284803 3884146149 4013080461 6274389933 6482668437 8266259753 9063007681 9363854409 11652438447 12039241383 18823169799 24798779259 27189023043 28091563227 34957315341 57863818271 74396337777 81567069129 84274689681 107461376789 173591454813 223189013331 244701207387 322384130367 520774364439 752229637523 967152391101 1562323093317 2256688912569 2901457173303 6770066737707 20310200213121