Search a number
-
+
2125510020 = 2232511808389
BaseRepresentation
bin111111010110000…
…1011010110000100
312111010112002121100
41332230023112010
513323112310040
6550525020100
7103446352134
oct17654132604
95433462540
102125510020
119a0882157
124b39b4630
1327b48024a
1416240aac4
15c6905b30
hex7eb0b584

2125510020 has 36 divisors (see below), whose sum is σ = 6447380940. Its totient is φ = 566802624.

The previous prime is 2125510007. The next prime is 2125510067. The reversal of 2125510020 is 200155212.

2125510020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 734518404 + 1390991616 = 27102^2 + 37296^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2125509975 and 2125510002.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5904015 + ... + 5904374.

It is an arithmetic number, because the mean of its divisors is an integer number (179093915).

Almost surely, 22125510020 is an apocalyptic number.

2125510020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2125510020 is an abundant number, since it is smaller than the sum of its proper divisors (4321870920).

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

2125510020 is a wasteful number, since it uses less digits than its factorization.

2125510020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11808404 (or 11808399 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 2125510020 is about 46103.2538981795. The cubic root of 2125510020 is about 1285.7436423985.

Adding to 2125510020 its reverse (200155212), we get a palindrome (2325665232).

The spelling of 2125510020 in words is "two billion, one hundred twenty-five million, five hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 11808389 23616778 35425167 47233556 59041945 70850334 106275501 118083890 141700668 177125835 212551002 236167780 354251670 425102004 531377505 708503340 1062755010 2125510020