Search a number
-
+
1020111313 = 13647121283
BaseRepresentation
bin111100110011011…
…010100111010001
32122002112000122111
4330303122213101
54042122030223
6245120305321
734164542314
oct7463324721
92562460574
101020111313
1148390a801
12245772241
1313345c180
14996a497b
155e85530d
hex3ccda9d1

1020111313 has 8 divisors (see below), whose sum is σ = 1100288448. Its totient is φ = 940178064.

The previous prime is 1020111293. The next prime is 1020111329. The reversal of 1020111313 is 3131110201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020111313 - 221 = 1018014161 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020111293 and 1020111302.

It is not an unprimeable number, because it can be changed into a prime (1020111353) 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 7 ways as a sum of consecutive naturals, for example, 52231 + ... + 69052.

It is an arithmetic number, because the mean of its divisors is an integer number (137536056).

Almost surely, 21020111313 is an apocalyptic number.

1020111313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020111313 is a deficient number, since it is larger than the sum of its proper divisors (80177135).

1020111313 is a wasteful number, since it uses less digits than its factorization.

1020111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121943.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 1020111313 is about 31939.1814704134. The cubic root of 1020111313 is about 1006.6593259385.

Adding to 1020111313 its reverse (3131110201), we get a palindrome (4151221514).

The spelling of 1020111313 in words is "one billion, twenty million, one hundred eleven thousand, three hundred thirteen".

Divisors: 1 13 647 8411 121283 1576679 78470101 1020111313