Search a number
-
+
20002111021101 = 31173137166936313
BaseRepresentation
bin1001000110001000110101…
…01110001110000000101101
32121211011221111201111012110
410203010122232032000231
510110203310410133401
6110312502024354233
74133050646300226
oct443043256160055
977734844644173
1020002111021101
116411936243480
1222b0662615979
13b21263760151
144d217077624d
1524a47a3789d6
hex12311ab8e02d

20002111021101 has 64 divisors (see below), whose sum is σ = 29726419610880. Its totient is φ = 11861718589440.

The previous prime is 20002111021097. The next prime is 20002111021111. The reversal of 20002111021101 is 10112011120002.

It is not a de Polignac number, because 20002111021101 - 22 = 20002111021097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002111021111) 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 63 ways as a sum of consecutive naturals, for example, 550806921 + ... + 550843233.

It is an arithmetic number, because the mean of its divisors is an integer number (464475306420).

Almost surely, 220002111021101 is an apocalyptic number.

It is an amenable number.

20002111021101 is a deficient number, since it is larger than the sum of its proper divisors (9724308589779).

20002111021101 is a wasteful number, since it uses less digits than its factorization.

20002111021101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38206.

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

Adding to 20002111021101 its reverse (10112011120002), we get a palindrome (30114122141103).

The spelling of 20002111021101 in words is "twenty trillion, two billion, one hundred eleven million, twenty-one thousand, one hundred one".

Divisors: 1 3 11 33 73 137 219 411 803 1507 1669 2409 4521 5007 10001 18359 30003 36313 55077 108939 110011 121837 228653 330033 365511 399443 685959 1198329 1340207 2515183 2650849 4020621 4974881 7545549 7952547 14924643 16691669 29159339 50075007 54723691 60606397 87478017 164171073 181819191 183608359 363166313 550825077 666670367 1089498939 2000011101 3994829443 4424266981 8303076389 11984488329 13272800943 24909229167 48666936791 91333840279 146000810373 274001520837 606124576397 1818373729191 6667370340367 20002111021101