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20001012002120 = 2351493355874497
BaseRepresentation
bin1001000110000110110010…
…01101110010110101001000
32121211002002220201112120202
410203003121031302311020
510110144033033031440
6110312201004511332
74133011502631242
oct443033115626510
977732086645522
1020001012002120
116411421939226
1222b03b654b548
13b21119b63b66
144d20a8811092
1524a413b38615
hex1230d9372d48

20001012002120 has 32 divisors (see below), whose sum is σ = 45304305723000. Its totient is φ = 7946710806528.

The previous prime is 20001012002099. The next prime is 20001012002137. The reversal of 20001012002120 is 2120021010002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18180007495204 + 1821004506916 = 4263802^2 + 1349446^2 .

It is a super-2 number, since 2×200010120021202 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1677931289 + ... + 1677943208.

Almost surely, 220001012002120 is an apocalyptic number.

20001012002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001012002120 is an abundant number, since it is smaller than the sum of its proper divisors (25303293720880).

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

20001012002120 is a wasteful number, since it uses less digits than its factorization.

20001012002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355874657 (or 3355874653 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20001012002120 its reverse (2120021010002), we get a palindrome (22121033012122).

The spelling of 20001012002120 in words is "twenty trillion, one billion, twelve million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 149 298 596 745 1192 1490 2980 5960 3355874497 6711748994 13423497988 16779372485 26846995976 33558744970 67117489940 134234979880 500025300053 1000050600106 2000101200212 2500126500265 4000202400424 5000253000530 10000506001060 20001012002120