Search a number
-
+
1001313110 = 25719752867
BaseRepresentation
bin111011101011101…
…101001101010110
32120210010222100202
4323223231031112
54022314004420
6243205340502
733546010130
oct7353551526
92523128322
101001313110
114742403a6
1223b407732
1312c5a9a85
1496db0050
155cd90575
hex3baed356

1001313110 has 32 divisors (see below), whose sum is σ = 2168259840. Its totient is φ = 325238112.

The previous prime is 1001313097. The next prime is 1001313133. The reversal of 1001313110 is 113131001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1001313091 and 1001313100.

It is a congruent number.

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, 375104 + ... + 377763.

It is an arithmetic number, because the mean of its divisors is an integer number (67758120).

Almost surely, 21001313110 is an apocalyptic number.

1001313110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001313110 is an abundant number, since it is smaller than the sum of its proper divisors (1166946730).

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

1001313110 is a wasteful number, since it uses less digits than its factorization.

1001313110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752900.

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 1001313110 is about 31643.5318825191. The cubic root of 1001313110 is about 1000.4375118888.

Adding to 1001313110 its reverse (113131001), we get a palindrome (1114444111).

The spelling of 1001313110 in words is "one billion, one million, three hundred thirteen thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1330 752867 1505734 3764335 5270069 7528670 10540138 14304473 26350345 28608946 52700690 71522365 100131311 143044730 200262622 500656555 1001313110