Search a number
-
+
20201211211212 = 223217307107519593
BaseRepresentation
bin1001001011111011101100…
…00001001010110111001100
32122112012212010212002120200
410211331312001022313030
510121434040032224322
6110544150332413500
74153326563056623
oct445756601126714
978465763762520
1020201211211212
1164893160a2139
122323168917290
13b36c73521325
144dba5b14a6ba
1525072e80c8ac
hex125f7604adcc

20201211211212 has 72 divisors (see below), whose sum is σ = 54244065251376. Its totient is φ = 6316991069184.

The previous prime is 20201211211157. The next prime is 20201211211219. The reversal of 20201211211212 is 21211211210202.

20201211211212 is a `hidden beast` number, since 20 + 201 + 21 + 1 + 211 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20201211211219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53571913 + ... + 53947680.

It is an arithmetic number, because the mean of its divisors is an integer number (753389795158).

Almost surely, 220201211211212 is an apocalyptic number.

It is an amenable number.

20201211211212 is an abundant number, since it is smaller than the sum of its proper divisors (34042854040164).

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

20201211211212 is a wasteful number, since it uses less digits than its factorization.

20201211211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107519927 (or 107519922 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 20201211211212 its reverse (21211211210202), we get a palindrome (41412422421414).

The spelling of 20201211211212 in words is "twenty trillion, two hundred one billion, two hundred eleven million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 307 612 614 921 1228 1842 2763 3684 5219 5526 10438 11052 15657 20876 31314 46971 62628 93942 187884 107519593 215039186 322558779 430078372 645117558 967676337 1290235116 1827833081 1935352674 3655666162 3870705348 5483499243 7311332324 10966998486 16450497729 21933996972 32900995458 33008515051 65801990916 66017030102 99025545153 132034060204 198051090306 297076635459 396102180612 561144755867 594153270918 1122289511734 1188306541836 1683434267601 2244579023468 3366868535202 5050302802803 6733737070404 10100605605606 20201211211212