Search a number
-
+
103406335025 = 5275340927259
BaseRepresentation
bin110000001001101111…
…1110111010000110001
3100212220120021002110012
41200103133313100301
53143234010210100
6115300524344305
710320335226260
oct1402337672061
9325816232405
10103406335025
113a9441a9014
121805a6a5095
13999c442bb6
14500d5da5d7
152a532e4135
hex18137f7431

103406335025 has 48 divisors (see below), whose sum is σ = 149677027200. Its totient is φ = 69396687360.

The previous prime is 103406334973. The next prime is 103406335031. The reversal of 103406335025 is 520533604301.

It is not a de Polignac number, because 103406335025 - 216 = 103406269489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103406334982 and 103406335000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3779846 + ... + 3807104.

It is an arithmetic number, because the mean of its divisors is an integer number (3118271400).

Almost surely, 2103406335025 is an apocalyptic number.

It is an amenable number.

103406335025 is a deficient number, since it is larger than the sum of its proper divisors (46270692175).

103406335025 is a wasteful number, since it uses less digits than its factorization.

103406335025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27738 (or 27733 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

Adding to 103406335025 its reverse (520533604301), we get a palindrome (623939939326).

The spelling of 103406335025 in words is "one hundred three billion, four hundred six million, three hundred thirty-five thousand, twenty-five".

Divisors: 1 5 7 25 35 53 175 265 371 409 1325 1855 2045 2863 9275 10225 14315 21677 27259 71575 108385 136295 151739 190813 541925 681475 758695 954065 1444727 3793475 4770325 7223635 10113089 11148931 36118175 50565445 55744655 78042517 252827225 278723275 390212585 590893343 1951062925 2954466715 4136253401 14772333575 20681267005 103406335025