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131303202310 = 257361961843
BaseRepresentation
bin111101001001001000…
…1111101111000000110
3110112220202010210010001
41322102101331320012
54122402104433220
6140153031151514
712325546543000
oct1722221757006
9415822123101
10131303202310
115075a264335
122154521559a
13c4c6b91267
1464d85c1370
15363748780a
hex1e9247de06

131303202310 has 64 divisors (see below), whose sum is σ = 276071616000. Its totient is φ = 44944786656.

The previous prime is 131303202271. The next prime is 131303202323. The reversal of 131303202310 is 13202303131.

It is a super-3 number, since 3×1313032023103 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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, 2092249 + ... + 2154091.

It is an arithmetic number, because the mean of its divisors is an integer number (4313619000).

Almost surely, 2131303202310 is an apocalyptic number.

131303202310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131303202310 is an abundant number, since it is smaller than the sum of its proper divisors (144768413690).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131303202310 is an equidigital number, since it uses as much as digits as its factorization.

131303202310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62490 (or 62476 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 131303202310 its reverse (13202303131), we get a palindrome (144505505441).

The spelling of 131303202310 in words is "one hundred thirty-one billion, three hundred three million, two hundred two thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 343 490 619 686 1238 1715 3095 3430 4333 6190 8666 21665 30331 43330 60662 61843 123686 151655 212317 303310 309215 424634 432901 618430 865802 1061585 2123170 2164505 3030307 4329010 6060614 15151535 21212149 30303070 38280817 42424298 76561634 106060745 191404085 212121490 267965719 382808170 535931438 1339828595 1875760033 2679657190 3751520066 9378800165 13130320231 18757600330 26260640462 65651601155 131303202310