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103431035325 = 35229127937181
BaseRepresentation
bin110000001010011111…
…0000101100110111101
3100212222021201222220010
41200110332011212331
53143311321112300
6115303210013433
710321055202642
oct1402476054675
9325867658803
10103431035325
113a957139792
1218066a17279
1399a45b0867
1450129c9dc9
152a55572a50
hex1814f859bd

103431035325 has 48 divisors (see below), whose sum is σ = 177045811200. Its totient is φ = 53217964800.

The previous prime is 103431035321. The next prime is 103431035413. The reversal of 103431035325 is 523530134301.

It is not a de Polignac number, because 103431035325 - 22 = 103431035321 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103431035292 and 103431035301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103431035321) by changing a digit.

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, 2763235 + ... + 2800415.

It is an arithmetic number, because the mean of its divisors is an integer number (3688454400).

Almost surely, 2103431035325 is an apocalyptic number.

103431035325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103431035325 is a deficient number, since it is larger than the sum of its proper divisors (73614775875).

103431035325 is a wasteful number, since it uses less digits than its factorization.

103431035325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38502 (or 38497 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 103431035325 its reverse (523530134301), we get a palindrome (626961169626).

The spelling of 103431035325 in words is "one hundred three billion, four hundred thirty-one million, thirty-five thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 29 75 87 145 435 725 1279 2175 3837 6395 19185 31975 37091 37181 95925 111273 111543 185455 185905 556365 557715 927275 929525 1078249 2781825 2788575 3234747 5391245 16173735 26956225 47554499 80868675 142663497 237772495 713317485 1188862475 1379080471 3566587425 4137241413 6895402355 20686207065 34477011775 103431035325