Search a number
-
+
2112110020 = 225293641569
BaseRepresentation
bin111110111100100…
…0011110111000100
312110012022022021001
41331321003313010
513311200010040
6545325503044
7103224432106
oct17571036704
95405268231
102112110020
1199425a579
124ab411a84
1327876ac57
1416071d576
15c565a59a
hex7de43dc4

2112110020 has 24 divisors (see below), whose sum is σ = 4588378200. Its totient is φ = 815711232.

The previous prime is 2112110009. The next prime is 2112110027. The reversal of 2112110020 is 200112112.

It can be written as a sum of positive squares in 4 ways, for example, as 810199296 + 1301910724 = 28464^2 + 36082^2 .

It is a super-2 number, since 2×21121100202 = 8922017473168800800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2112109979 and 2112110006.

It is not an unprimeable number, because it can be changed into a prime (2112110027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1820205 + ... + 1821364.

It is an arithmetic number, because the mean of its divisors is an integer number (191182425).

Almost surely, 22112110020 is an apocalyptic number.

2112110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112110020 is an abundant number, since it is smaller than the sum of its proper divisors (2476268180).

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

2112110020 is a wasteful number, since it uses less digits than its factorization.

2112110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3641607 (or 3641605 counting only the distinct ones).

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

The square root of 2112110020 is about 45957.6981581976. The cubic root of 2112110020 is about 1283.0360102054.

Adding to 2112110020 its reverse (200112112), we get a palindrome (2312222132).

The spelling of 2112110020 in words is "two billion, one hundred twelve million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 3641569 7283138 14566276 18207845 36415690 72831380 105605501 211211002 422422004 528027505 1056055010 2112110020