Search a number
-
+
1001105014 = 271312974241
BaseRepresentation
bin111011101010111…
…010011001110110
32120202202101220111
4323222322121312
54022240330024
6243201053234
733544152340
oct7352723166
92522671814
101001105014
11474109018
1223b32721a
1312c536140
1496d58290
155cd4da94
hex3baba676

1001105014 has 32 divisors (see below), whose sum is σ = 1850054976. Its totient is φ = 395642880.

The previous prime is 1001105011. The next prime is 1001105023. The reversal of 1001105014 is 4105011001.

It is a super-2 number, since 2×10011050142 = 2004422498111880392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1001104985 and 1001105003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001105011) by changing a digit.

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, 233934 + ... + 238174.

It is an arithmetic number, because the mean of its divisors is an integer number (57814218).

Almost surely, 21001105014 is an apocalyptic number.

1001105014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1001105014 is a deficient number, since it is larger than the sum of its proper divisors (848949962).

1001105014 is a wasteful number, since it uses less digits than its factorization.

1001105014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560.

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 1001105014 is about 31640.2435831332. The cubic root of 1001105014 is about 1000.3682024103.

Adding to 1001105014 its reverse (4105011001), we get a palindrome (5106116015).

The spelling of 1001105014 in words is "one billion, one million, one hundred five thousand, fourteen".

Divisors: 1 2 7 13 14 26 91 182 1297 2594 4241 8482 9079 16861 18158 29687 33722 55133 59374 110266 118027 236054 385931 771862 5500577 11001154 38504039 71507501 77008078 143015002 500552507 1001105014