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103224432233 = 1321374458361
BaseRepresentation
bin110000000100010100…
…1111101011001101001
3100212102212222110201202
41200020221331121221
53142400423312413
6115230505453545
710312666124366
oct1401051753151
9325385873652
10103224432233
113a86055682a
12180097a12b5
139970853c00
144dd33a946d
152a42361e58
hex1808a7d669

103224432233 has 12 divisors (see below), whose sum is σ = 112591473948. Its totient is φ = 94588565760.

The previous prime is 103224432229. The next prime is 103224432247. The reversal of 103224432233 is 332234422301.

It can be written as a sum of positive squares in 6 ways, for example, as 36058971664 + 67165460569 = 189892^2 + 259163^2 .

It is not a de Polignac number, because 103224432233 - 22 = 103224432229 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103224432196 and 103224432205.

It is not an unprimeable number, because it can be changed into a prime (103224432733) 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 11 ways as a sum of consecutive naturals, for example, 2206028 + ... + 2252333.

It is an arithmetic number, because the mean of its divisors is an integer number (9382622829).

Almost surely, 2103224432233 is an apocalyptic number.

103224432233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103224432233 is a deficient number, since it is larger than the sum of its proper divisors (9367041715).

103224432233 is a wasteful number, since it uses less digits than its factorization.

103224432233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4458524 (or 4458511 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 103224432233 its reverse (332234422301), we get a palindrome (435458854534).

The spelling of 103224432233 in words is "one hundred three billion, two hundred twenty-four million, four hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 13 137 169 1781 23153 4458361 57958693 610795457 753463009 7940340941 103224432233