Search a number
-
+
5311355100 = 2235220038839
BaseRepresentation
bin1001111001001010…
…01101100011011100
3111201011020210110120
410330211031203130
541334201330400
62235012434540
7245422526202
oct47445154334
914634223416
105311355100
112286137777
121042918a50
13668503c8c
1438558d072
15211459ca0
hex13c94d8dc

5311355100 has 72 divisors (see below), whose sum is σ = 15376932480. Its totient is φ = 1415494080.

The previous prime is 5311355047. The next prime is 5311355111. The reversal of 5311355100 is 15531135.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 596481 + ... + 605319.

Almost surely, 25311355100 is an apocalyptic number.

5311355100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5311355100 is an abundant number, since it is smaller than the sum of its proper divisors (10065577380).

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

5311355100 is a wasteful number, since it uses less digits than its factorization.

5311355100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10859 (or 10852 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 5311355100 is about 72879.0443131632. The cubic root of 5311355100 is about 1744.7576558002.

Adding to 5311355100 its reverse (15531135), we get a palindrome (5326886235).

The spelling of 5311355100 in words is "five billion, three hundred eleven million, three hundred fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 2003 4006 6009 8012 8839 10015 12018 17678 20030 24036 26517 30045 35356 40060 44195 50075 53034 60090 88390 100150 106068 120180 132585 150225 176780 200300 220975 265170 300450 441950 530340 600900 662925 883900 1325850 2651700 17704517 35409034 53113551 70818068 88522585 106227102 177045170 212454204 265567755 354090340 442612925 531135510 885225850 1062271020 1327838775 1770451700 2655677550 5311355100