Search a number
-
+
1003432131041 = 172411011124223
BaseRepresentation
bin11101001101000010011…
…01110011100111100001
310112221000220120202011112
432212201031303213201
5112420012111143131
62044545332553105
7132331661245664
oct16464115634741
93487026522145
101003432131041
1135760a30782a
1214257b482795
1373814361602
14367d01b96db
151b17cc1902b
hexe9a13739e1

1003432131041 has 16 divisors (see below), whose sum is σ = 1067015651328. Its totient is φ = 940356172800.

The previous prime is 1003432131029. The next prime is 1003432131067. The reversal of 1003432131041 is 1401312343001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1003432131041 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003432130998 and 1003432131016.

It is not an unprimeable number, because it can be changed into a prime (1003432161041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41412656 + ... + 41436878.

It is an arithmetic number, because the mean of its divisors is an integer number (66688478208).

Almost surely, 21003432131041 is an apocalyptic number.

It is an amenable number.

1003432131041 is a deficient number, since it is larger than the sum of its proper divisors (63583520287).

1003432131041 is a wasteful number, since it uses less digits than its factorization.

1003432131041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34592.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 1003432131041 its reverse (1401312343001), we get a palindrome (2404744474042).

The spelling of 1003432131041 in words is "one trillion, three billion, four hundred thirty-two million, one hundred thirty-one thousand, forty-one".

Divisors: 1 17 241 4097 10111 24223 171887 411791 2436751 5837743 41424767 99241631 244918753 4163618801 59025419473 1003432131041