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103025431353 = 31329711318539
BaseRepresentation
bin101111111110011001…
…0110101001100111001
3100211221000112011211210
41133330302311030321
53141444002300403
6115155040313333
710305031501035
oct1377462651471
9324830464753
10103025431353
113a769196499
1217b73012849
13993b559600
144db4ba71c5
152a2eb53b03
hex17fccb5339

103025431353 has 48 divisors (see below), whose sum is σ = 151618340160. Its totient is φ = 62188019712.

The previous prime is 103025431321. The next prime is 103025431361. The reversal of 103025431353 is 353134520301.

It is not a de Polignac number, because 103025431353 - 25 = 103025431321 is a prime.

It is a super-2 number, since 2×1030254313532 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103025431353.

It is not an unprimeable number, because it can be changed into a prime (103025431373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5547958 + ... + 5566496.

It is an arithmetic number, because the mean of its divisors is an integer number (3158715420).

Almost surely, 2103025431353 is an apocalyptic number.

103025431353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103025431353 is a deficient number, since it is larger than the sum of its proper divisors (48592908807).

103025431353 is a wasteful number, since it uses less digits than its factorization.

103025431353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18778 (or 18765 counting only the distinct ones).

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

Adding to 103025431353 its reverse (353134520301), we get a palindrome (456159951654).

The spelling of 103025431353 in words is "one hundred three billion, twenty-five million, four hundred thirty-one thousand, three hundred fifty-three".

Divisors: 1 3 13 39 97 113 169 291 339 507 1261 1469 3783 4407 10961 16393 18539 19097 32883 49179 55617 57291 142493 241007 427479 723021 1798283 1852409 2094907 3133091 5394849 5557227 6284721 9399273 23377679 27233791 70133037 81701373 203205979 303909827 354039283 609617937 911729481 1062117849 2641677727 7925033181 34341810451 103025431353