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13013310231 = 35233175109
BaseRepresentation
bin11000001111010011…
…10101101100010111
31020120220211122200000
430013221311230113
5203122401411411
65551144222343
7640324211655
oct140751655427
936526748600
1013013310231
115578746649
12263216a9b3
1312c508218c
148b6431dd5
155126d0956
hex307a75b17

13013310231 has 48 divisors (see below), whose sum is σ = 20997150720. Its totient is φ = 8030547360.

The previous prime is 13013310209. The next prime is 13013310257. The reversal of 13013310231 is 13201331031.

It is a happy number.

13013310231 is a `hidden beast` number, since 1 + 301 + 331 + 0 + 2 + 31 = 666.

It is not a de Polignac number, because 13013310231 - 213 = 13013302039 is a prime.

It is a super-2 number, since 2×130133102312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13013310131) 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, 135705 + ... + 210813.

It is an arithmetic number, because the mean of its divisors is an integer number (437440640).

Almost surely, 213013310231 is an apocalyptic number.

13013310231 is a deficient number, since it is larger than the sum of its proper divisors (7983840489).

13013310231 is an equidigital number, since it uses as much as digits as its factorization.

13013310231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75178 (or 75166 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13013310231 its reverse (13201331031), we get a palindrome (26214641262).

The spelling of 13013310231 in words is "thirteen billion, thirteen million, three hundred ten thousand, two hundred thirty-one".

Divisors: 1 3 9 23 27 31 69 81 93 207 243 279 621 713 837 1863 2139 2511 5589 6417 7533 19251 57753 75109 173259 225327 675981 1727507 2027943 2328379 5182521 6083829 6985137 15547563 18251487 20955411 46642689 53552717 62866233 139928067 160658151 188598699 419784201 481974453 565796097 1445923359 4337770077 13013310231