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110301030113 = 1729894016269
BaseRepresentation
bin110011010111001110…
…1000010011011100001
3101112201001211220001112
41212232131002123201
53301344030430423
6122401021513105
710653235200161
oct1465635023341
9345631756045
10110301030113
114286206852a
1219463712795
13a52a998831
1454a51845a1
152d0875ba78
hex19ae7426e1

110301030113 has 32 divisors (see below), whose sum is σ = 122498244000. Its totient is φ = 98843852800.

The previous prime is 110301030097. The next prime is 110301030139. The reversal of 110301030113 is 311030103011.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 2446588369 + 107854441744 = 49463^2 + 328412^2 .

It is a cyclic number.

It is not a de Polignac number, because 110301030113 - 24 = 110301030097 is a prime.

It is a super-3 number, since 3×1103010301133 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110301030173) 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 31 ways as a sum of consecutive naturals, for example, 17591543 + ... + 17597811.

It is an arithmetic number, because the mean of its divisors is an integer number (3828070125).

Almost surely, 2110301030113 is an apocalyptic number.

It is an amenable number.

110301030113 is a deficient number, since it is larger than the sum of its proper divisors (12197213887).

110301030113 is a wasteful number, since it uses less digits than its factorization.

110301030113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6805.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 110301030113 its reverse (311030103011), we get a palindrome (421331133124).

It can be divided in two parts, 11030103011 and 3, that multiplied together give a palindrome (33090309033).

The spelling of 110301030113 in words is "one hundred ten billion, three hundred one million, thirty thousand, one hundred thirteen".

Divisors: 1 17 29 89 401 493 1513 2581 6269 6817 11629 35689 43877 106573 181801 197693 557941 606713 1034981 2513869 3090617 9484997 16180289 17594677 42735773 72902201 223734341 275064913 1239337417 3803483797 6488295889 110301030113