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20110101200020 = 22513180134293929
BaseRepresentation
bin1001001001010001111110…
…11100000011110010010100
32122012111200112021222100201
410210220333130003302110
510113440441401400040
6110434241500550244
74143623024543056
oct444507734036224
978174615258321
1020110101200020
116453711949227
122309580252384
13b2b4b37546c0
144d7496a658d6
1524d19acbda9a
hex124a3f703c94

20110101200020 has 48 divisors (see below), whose sum is σ = 45482302751760. Its totient is φ = 7424854189056.

The previous prime is 20110101199997. The next prime is 20110101200027. The reversal of 20110101200020 is 2000210101102.

It can be written as a sum of positive squares in 8 ways, for example, as 13493610244 + 20096607589776 = 116162^2 + 4482924^2 .

It is a super-3 number, since 3×201101012000203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20110101200027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2536416 + ... + 6830344.

It is an arithmetic number, because the mean of its divisors is an integer number (947547973995).

Almost surely, 220110101200020 is an apocalyptic number.

20110101200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110101200020 is an abundant number, since it is smaller than the sum of its proper divisors (25372201551740).

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

20110101200020 is a wasteful number, since it uses less digits than its factorization.

20110101200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311964 (or 4311962 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20110101200020 its reverse (2000210101102), we get a palindrome (22110311301122).

The spelling of 20110101200020 in words is "twenty trillion, one hundred ten billion, one hundred one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 18013 36026 72052 90065 180130 234169 360260 468338 936676 1170845 2341690 4293929 4683380 8587858 17175716 21469645 42939290 55821077 85878580 111642154 223284308 279105385 558210770 1116421540 77346543077 154693086154 309386172308 386732715385 773465430770 1005505060001 1546930861540 2011010120002 4022020240004 5027525300005 10055050600010 20110101200020