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20002120011211 = 1331457108606241
BaseRepresentation
bin1001000110001000110110…
…10000100000110111001011
32121211011222010122020022111
410203010123100200313023
510110203320210324321
6110312502545203151
74133051115562402
oct443043320406713
977734863566274
1020002120011211
116411940323918
1222b06656304b7
13b2126558a140
144d2171a36639
1524a47b0525e1
hex12311b420dcb

20002120011211 has 16 divisors (see below), whose sum is σ = 22284263158528. Its totient is φ = 17828800358400.

The previous prime is 20002120011187. The next prime is 20002120011229. The reversal of 20002120011211 is 11211002120002.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20002120011211 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20002120011191 and 20002120011200.

It is not an unprimeable number, because it can be changed into a prime (20002120011271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54118950 + ... + 54487291.

It is an arithmetic number, because the mean of its divisors is an integer number (1392766447408).

Almost surely, 220002120011211 is an apocalyptic number.

20002120011211 is a deficient number, since it is larger than the sum of its proper divisors (2282143147317).

20002120011211 is a wasteful number, since it uses less digits than its factorization.

20002120011211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108606742.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20002120011211 its reverse (11211002120002), we get a palindrome (31213122131213).

The spelling of 20002120011211 in words is "twenty trillion, two billion, one hundred twenty million, eleven thousand, two hundred eleven".

Divisors: 1 13 31 403 457 5941 14167 184171 108606241 1411881133 3366793471 43768315123 49633052137 645229677781 1538624616247 20002120011211