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131313030303 = 3713377922083
BaseRepresentation
bin111101001001011011…
…1011101010010011111
3110112221102122002120210
41322102313131102133
54122412113432203
6140154021543503
712326026225020
oct1722267352237
9415842562523
10131313030303
1150764867244
1221548574b93
13c4c8c22740
1464d9a1cc47
153638279803
hex1e92ddd49f

131313030303 has 96 divisors (see below), whose sum is σ = 224256539136. Its totient is φ = 66507008256.

The previous prime is 131313030287. The next prime is 131313030307. The reversal of 131313030303 is 303030313131.

It is not a de Polignac number, because 131313030303 - 24 = 131313030287 is a prime.

It is a super-2 number, since 2×1313130303032 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 131313030303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131313030307) 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 95 ways as a sum of consecutive naturals, for example, 63039300 + ... + 63041382.

It is an arithmetic number, because the mean of its divisors is an integer number (2336005616).

Almost surely, 2131313030303 is an apocalyptic number.

131313030303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

131313030303 is a deficient number, since it is larger than the sum of its proper divisors (92943508833).

131313030303 is a wasteful number, since it uses less digits than its factorization.

131313030303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2222 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 131313030303 its reverse (303030313131), we get a palindrome (434343343434).

The spelling of 131313030303 in words is "one hundred thirty-one billion, three hundred thirteen million, thirty thousand, three hundred three".

Divisors: 1 3 7 13 21 37 39 79 91 111 237 259 273 481 553 777 1027 1443 1659 2083 2923 3081 3367 6241 6249 7189 8769 10101 14581 18723 20461 21567 27079 37999 43687 43743 61383 77071 81133 81237 113997 131061 164557 189553 230917 231213 243399 265993 493671 539497 567931 568659 692751 797979 1001923 1151899 1616419 1618491 1703793 2139241 3001921 3005769 3455697 4849257 6088609 6417723 7013461 9005763 13000003 14974687 18265827 21013447 21040383 39000009 42620263 44924061 63040341 79151917 91000021 127860789 169000039 237455751 273000063 481000111 507000117 554063419 1183000273 1443000333 1662190257 3367000777 3549000819 6253001443 10101002331 18759004329 43771010101 131313030303