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2131110020 = 225138196577
BaseRepresentation
bin111111100000110…
…0010100010000100
312111112001121100202
41333001202202010
513331031010040
6551245030032
7103545064514
oct17701424204
95445047322
102131110020
119a3a57556
124b5855318
1327c691160
14163067844
15c7160015
hex7f062884

2131110020 has 24 divisors (see below), whose sum is σ = 4819587864. Its totient is φ = 786871296.

The previous prime is 2131110017. The next prime is 2131110029. The reversal of 2131110020 is 200111312.

It can be written as a sum of positive squares in 4 ways, for example, as 329277316 + 1801832704 = 18146^2 + 42448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2131109983 and 2131110010.

It is not an unprimeable number, because it can be changed into a prime (2131110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4098029 + ... + 4098548.

It is an arithmetic number, because the mean of its divisors is an integer number (200816161).

Almost surely, 22131110020 is an apocalyptic number.

2131110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131110020 is an abundant number, since it is smaller than the sum of its proper divisors (2688477844).

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

2131110020 is a wasteful number, since it uses less digits than its factorization.

2131110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8196599 (or 8196597 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2131110020 is about 46163.9471882550. The cubic root of 2131110020 is about 1286.8718187321.

Adding to 2131110020 its reverse (200111312), we get a palindrome (2331221332).

The spelling of 2131110020 in words is "two billion, one hundred thirty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 8196577 16393154 32786308 40982885 81965770 106555501 163931540 213111002 426222004 532777505 1065555010 2131110020