Search a number
-
+
103431323121 = 373296156821
BaseRepresentation
bin110000001010011111…
…1001011110111110001
3100212222022021121200020
41200110333023313301
53143311404314441
6115303220114053
710321060512000
oct1402477136761
9325868247606
10103431323121
113a957315a35
1218066b35929
1399a4681859
145012a62c37
152a555cce66
hex1814fcbdf1

103431323121 has 64 divisors (see below), whose sum is σ = 169102272000. Its totient is φ = 56129068800.

The previous prime is 103431323117. The next prime is 103431323153. The reversal of 103431323121 is 121323134301.

It is not a de Polignac number, because 103431323121 - 22 = 103431323117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103431323091 and 103431323100.

It is not an unprimeable number, because it can be changed into a prime (103431323111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1791891 + ... + 1848711.

It is an arithmetic number, because the mean of its divisors is an integer number (2642223000).

Almost surely, 2103431323121 is an apocalyptic number.

It is an amenable number.

103431323121 is a deficient number, since it is larger than the sum of its proper divisors (65670948879).

103431323121 is an equidigital number, since it uses as much as digits as its factorization.

103431323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56935 (or 56921 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 103431323121 its reverse (121323134301), we get a palindrome (224754457422).

The spelling of 103431323121 in words is "one hundred three billion, four hundred thirty-one million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 3 7 21 29 49 61 87 147 183 203 343 427 609 1029 1281 1421 1769 2989 4263 5307 8967 9947 12383 20923 29841 37149 56821 62769 86681 170463 260043 397747 606767 1193241 1647809 1820301 2784229 3466081 4943427 8352687 10398243 11534663 19489603 24262567 34603989 58468809 72787701 80742641 100516349 169837969 242227923 301549047 509513907 565198487 703614443 1188865783 1695595461 2110843329 3566597349 4925301101 14775903303 34477107707 103431323121