Search a number
-
+
10024324033 = 101717713829
BaseRepresentation
bin10010101010111111…
…10000101111000001
3221212121112102102111
421111133300233001
5131012211332113
64334412015321
7503261230333
oct112537605701
927777472374
1010024324033
114284519019
121b39161541
13c39a55aa9
146b1495453
153da0b513d
hex2557f0bc1

10024324033 has 8 divisors (see below), whose sum is σ = 10125717480. Its totient is φ = 9922972800.

The previous prime is 10024324027. The next prime is 10024324039. The reversal of 10024324033 is 33042342001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10024324027) and next prime (10024324039).

It can be written as a sum of positive squares in 4 ways, for example, as 4710351424 + 5313972609 = 68632^2 + 72897^2 .

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 10024324033 - 25 = 10024324001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10024323995 and 10024324013.

It is not an unprimeable number, because it can be changed into a prime (10024324039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 717963 + ... + 731791.

It is an arithmetic number, because the mean of its divisors is an integer number (1265714685).

Almost surely, 210024324033 is an apocalyptic number.

It is an amenable number.

10024324033 is a deficient number, since it is larger than the sum of its proper divisors (101393447).

10024324033 is a wasteful number, since it uses less digits than its factorization.

10024324033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21107.

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 10024324033 its reverse (33042342001), we get a palindrome (43066666034).

The spelling of 10024324033 in words is "ten billion, twenty-four million, three hundred twenty-four thousand, thirty-three".

Divisors: 1 101 7177 13829 724877 1396729 99250733 10024324033