Search a number
-
+
103031020233 = 32174116424521
BaseRepresentation
bin101111111110100100…
…0001001101011001001
3100211221102001010100100
41133331020021223021
53142001420121413
6115155400200013
710305130136121
oct1377510115311
9324842033310
10103031020233
113a7713634a9
1217b74a69009
13993c76543b
144db581dc81
152a303a9a73
hex17fd209ac9

103031020233 has 24 divisors (see below), whose sum is σ = 161420202216. Its totient is φ = 63070156800.

The previous prime is 103031020231. The next prime is 103031020283. The reversal of 103031020233 is 332020130301.

103031020233 is a `hidden beast` number, since 103 + 0 + 310 + 20 + 233 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24332256144 + 78698764089 = 155988^2 + 280533^2 .

It is not a de Polignac number, because 103031020233 - 21 = 103031020231 is a prime.

It is a super-2 number, since 2×1030310202332 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103031020231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8205988 + ... + 8218533.

It is an arithmetic number, because the mean of its divisors is an integer number (6725841759).

Almost surely, 2103031020233 is an apocalyptic number.

It is an amenable number.

103031020233 is a deficient number, since it is larger than the sum of its proper divisors (58389181983).

103031020233 is a wasteful number, since it uses less digits than its factorization.

103031020233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16424585 (or 16424582 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103031020233 its reverse (332020130301), we get a palindrome (435051150534).

The spelling of 103031020233 in words is "one hundred three billion, thirty-one million, twenty thousand, two hundred thirty-three".

Divisors: 1 3 9 17 41 51 123 153 369 697 2091 6273 16424521 49273563 147820689 279216857 673405361 837650571 2020216083 2512951713 6060648249 11447891137 34343673411 103031020233