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4101303020 = 2254337912583
BaseRepresentation
bin1111010001110100…
…1110101011101100
3101120211022210001212
43310131032223230
531344413144040
61514545053552
7203430333443
oct36435165354
911524283055
104101303020
111815095731
129656272b8
13504900329
142ac9a3d5a
151900d5d65
hexf474eaec

4101303020 has 48 divisors (see below), whose sum is σ = 8836988160. Its totient is φ = 1598014656.

The previous prime is 4101302941. The next prime is 4101303109. The reversal of 4101303020 is 203031014.

It is a super-2 number, since 2×41013030202 = 33641372923722240800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4101302986 and 4101303004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319649 + ... + 332231.

It is an arithmetic number, because the mean of its divisors is an integer number (184103920).

Almost surely, 24101303020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101303020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418494080).

4101303020 is an abundant number, since it is smaller than the sum of its proper divisors (4735685140).

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

4101303020 is a wasteful number, since it uses less digits than its factorization.

4101303020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13014 (or 13012 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 4101303020 is about 64041.4164427990. The cubic root of 4101303020 is about 1600.6901996183.

Adding to 4101303020 its reverse (203031014), we get a palindrome (4304334034).

The spelling of 4101303020 in words is "four billion, one hundred one million, three hundred three thousand, twenty".

Divisors: 1 2 4 5 10 20 43 86 172 215 379 430 758 860 1516 1895 3790 7580 12583 16297 25166 32594 50332 62915 65188 81485 125830 162970 251660 325940 541069 1082138 2164276 2705345 4768957 5410690 9537914 10821380 19075828 23844785 47689570 95379140 205065151 410130302 820260604 1025325755 2050651510 4101303020