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20002111101 = 32722913111939
BaseRepresentation
bin10010101000001101…
…111111111001111101
31220121222111112010200
4102220031333321331
5311431020023401
613104442354113
71305446065500
oct225015777175
956558445120
1020002111101
118534741135
123a627bb939
131b69c667cb
14d7a6b5137
157c1036686
hex4a837fe7d

20002111101 has 72 divisors (see below), whose sum is σ = 35036258400. Its totient is φ = 10950488640.

The previous prime is 20002111099. The next prime is 20002111117. The reversal of 20002111101 is 10111120002.

It is a happy number.

It is not a de Polignac number, because 20002111101 - 21 = 20002111099 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20002111001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1669390 + ... + 1681328.

It is an arithmetic number, because the mean of its divisors is an integer number (486614700).

Almost surely, 220002111101 is an apocalyptic number.

20002111101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20002111101 is a deficient number, since it is larger than the sum of its proper divisors (15034147299).

20002111101 is a wasteful number, since it uses less digits than its factorization.

20002111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12119 (or 12109 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20002111101 its reverse (10111120002), we get a palindrome (30113231103).

The spelling of 20002111101 in words is "twenty billion, two million, one hundred eleven thousand, one hundred one".

Divisors: 1 3 7 9 21 29 49 63 87 131 147 203 261 393 441 609 917 1179 1421 1827 2751 3799 4263 6419 8253 11397 11939 12789 19257 26593 34191 35817 57771 79779 83573 107451 186151 239337 250719 346231 558453 585011 752157 1038693 1564009 1675359 1755033 2423617 3116079 4692027 5265099 7270851 10948063 14076081 16965319 21812553 32844189 45356261 50895957 76636441 98532567 136068783 152687871 229909323 317493827 408206349 689727969 952481481 2222456789 2857444443 6667370367 20002111101