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4113016020 = 2232522850089
BaseRepresentation
bin1111010100100111…
…1010010011010100
3101121122100212021200
43311021322103110
531410413003040
61520044112500
7203632026231
oct36511722324
911548325250
104113016020
1118207658a3
12969535730
135071717b9
142b0372788
1519114b630
hexf527a4d4

4113016020 has 36 divisors (see below), whose sum is σ = 12476149140. Its totient is φ = 1096804224.

The previous prime is 4113015967. The next prime is 4113016021. The reversal of 4113016020 is 206103114.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1054041156 + 3058974864 = 32466^2 + 55308^2 .

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 = 4113015984 and 4113016002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4113016021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11424865 + ... + 11425224.

Almost surely, 24113016020 is an apocalyptic number.

It is an amenable number.

4113016020 is an abundant number, since it is smaller than the sum of its proper divisors (8363133120).

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

4113016020 is a wasteful number, since it uses less digits than its factorization.

4113016020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22850104 (or 22850099 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4113016020 is about 64132.7998765062. The cubic root of 4113016020 is about 1602.2125665371.

Adding to 4113016020 its reverse (206103114), we get a palindrome (4319119134).

The spelling of 4113016020 in words is "four billion, one hundred thirteen million, sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 22850089 45700178 68550267 91400356 114250445 137100534 205650801 228500890 274201068 342751335 411301602 457001780 685502670 822603204 1028254005 1371005340 2056508010 4113016020