Search a number
-
+
1020103331 = 13192217367
BaseRepresentation
bin111100110011011…
…000101010100011
32122002111121200212
4330303120222203
54042121301311
6245120204335
734164510122
oct7463305243
92562447625
101020103331
11483904805
122457696ab
13133458650
14996a1ab9
155e852c8b
hex3ccd8aa3

1020103331 has 12 divisors (see below), whose sum is σ = 1159440912. Its totient is φ = 892070064.

The previous prime is 1020103321. The next prime is 1020103367. The reversal of 1020103331 is 1333010201.

It is not a de Polignac number, because 1020103331 - 218 = 1019841187 is a prime.

It is a super-2 number, since 2×10201033312 = 2081221611834591122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020103321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103991 + ... + 113376.

It is an arithmetic number, because the mean of its divisors is an integer number (96620076).

Almost surely, 21020103331 is an apocalyptic number.

1020103331 is a deficient number, since it is larger than the sum of its proper divisors (139337581).

1020103331 is a wasteful number, since it uses less digits than its factorization.

1020103331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217418 (or 217399 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 1020103331 is about 31939.0565139298. The cubic root of 1020103331 is about 1006.6567003506.

Adding to 1020103331 its reverse (1333010201), we get a palindrome (2353113532).

The spelling of 1020103331 in words is "one billion, twenty million, one hundred three thousand, three hundred thirty-one".

Divisors: 1 13 19 247 361 4693 217367 2825771 4129973 53689649 78469487 1020103331