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20110001020011 = 347311619918397
BaseRepresentation
bin1001001001010001110010…
…11101111001110001101011
32122012111102112210022020000
410210220321131321301223
510113440240230120021
6110434223521434043
74143620400201060
oct444507135716153
978174375708200
1020110001020011
116453670344531
12230955279b923
13b2b498a79ca6
144d7487628c67
1524d1920d0b26
hex124a39779c6b

20110001020011 has 80 divisors (see below), whose sum is σ = 34450240281600. Its totient is φ = 11452008899520.

The previous prime is 20110001019967. The next prime is 20110001020033. The reversal of 20110001020011 is 11002010001102.

It is a happy number.

It is not a de Polignac number, because 20110001020011 - 235 = 20075641281643 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 20110001019975 and 20110001020002.

It is not an unprimeable number, because it can be changed into a prime (20110001022011) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1093103865 + ... + 1093122261.

It is an arithmetic number, because the mean of its divisors is an integer number (430628003520).

Almost surely, 220110001020011 is an apocalyptic number.

20110001020011 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20110001020011 is a deficient number, since it is larger than the sum of its proper divisors (14340239261589).

20110001020011 is a wasteful number, since it uses less digits than its factorization.

20110001020011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24926 (or 24917 counting only the distinct ones).

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

Adding to 20110001020011 its reverse (11002010001102), we get a palindrome (31112011021113).

The spelling of 20110001020011 in words is "twenty trillion, one hundred ten billion, one million, twenty thousand, eleven".

Divisors: 1 3 7 9 21 27 63 81 189 311 567 933 2177 2799 6199 6531 8397 18397 18597 19593 25191 43393 55191 55791 58779 128779 130179 165573 167373 176337 386337 390537 496719 502119 1159011 1171611 1490157 1927889 3477033 3514833 5721467 5783667 10431099 13495223 17164401 17351001 40050269 40485669 51493203 52053003 114043003 120150807 121457007 154479609 156159009 342129009 360452421 364371021 463438827 798301021 1026387027 1081357263 1093113063 2394903063 3079161081 3244071789 7184709189 9237483243 21554127567 35467373933 64662382701 106402121799 248271617531 319206365397 744814852593 957619096191 2234444557779 2872857288573 6703333673337 20110001020011