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103000430013 = 31328110938599
BaseRepresentation
bin101111111101101001…
…1011101010110111101
3100211212021110222110020
41133323103131112331
53141421102230023
6115152344402353
710304306131605
oct1377323352675
9324767428406
10103000430013
113a75606a628
1217b667763b9
139936314910
144db1739c05
152a2c865de3
hex17fb4dd5bd

103000430013 has 32 divisors (see below), whose sum is σ = 148577452800. Its totient is φ = 63094187520.

The previous prime is 103000429981. The next prime is 103000430033. The reversal of 103000430013 is 310034000301.

It is not a de Polignac number, because 103000430013 - 25 = 103000429981 is a prime.

It is a super-2 number, since 2×1030004300132 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103000429974 and 103000430001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103000430033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11973888 + ... + 11982486.

It is an arithmetic number, because the mean of its divisors is an integer number (4643045400).

Almost surely, 2103000430013 is an apocalyptic number.

103000430013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103000430013 is a deficient number, since it is larger than the sum of its proper divisors (45577022787).

103000430013 is a wasteful number, since it uses less digits than its factorization.

103000430013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9989.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103000430013 its reverse (310034000301), we get a palindrome (413034430314).

The spelling of 103000430013 in words is "one hundred three billion, four hundred thirty thousand, thirteen".

Divisors: 1 3 13 39 281 843 1093 3279 3653 8599 10959 14209 25797 42627 111787 307133 335361 921399 2416319 3992729 7248957 9398707 11978187 28196121 31412147 94236441 122183191 366549573 2641036667 7923110001 34333476671 103000430013