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131041333303512 = 233171677517255851
BaseRepresentation
bin11101110010111001110000…
…000111110101100011011000
3122011222102120211100002022220
4131302321300013311203120
5114133440122311203022
61142411320224344040
736413265253556532
oct3562716007654330
9564872524302286
10131041333303512
1138832354455895
1212844831475020
1358171b5bcba68
142450611cc2852
151023a448b485c
hex772e701f58d8

131041333303512 has 128 divisors (see below), whose sum is σ = 348998993763840. Its totient is φ = 40859236812800.

The previous prime is 131041333303429. The next prime is 131041333303537. The reversal of 131041333303512 is 215303333140131.

It is a happy number.

It is a super-2 number, since 2×1310413333035122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512050387 + ... + 512306237.

It is an arithmetic number, because the mean of its divisors is an integer number (2726554638780).

Almost surely, 2131041333303512 is an apocalyptic number.

131041333303512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131041333303512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174499496881920).

131041333303512 is an abundant number, since it is smaller than the sum of its proper divisors (217957660460328).

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

131041333303512 is a wasteful number, since it uses less digits than its factorization.

131041333303512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263561 (or 263557 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

Adding to 131041333303512 its reverse (215303333140131), we get a palindrome (346344666443643).

The spelling of 131041333303512 in words is "one hundred thirty-one trillion, forty-one billion, three hundred thirty-three million, three hundred three thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 167 204 334 408 501 668 1002 1336 2004 2839 4008 5678 7517 8517 11356 15034 17034 22551 22712 30068 34068 45102 60136 68136 90204 127789 180408 255578 255851 383367 511156 511702 766734 767553 1022312 1023404 1255339 1533468 1535106 2046808 2510678 3066936 3070212 3766017 4349467 5021356 6140424 7532034 8698934 10042712 13048401 15064068 17397868 21340763 26096802 30128136 34795736 42681526 42727117 52193604 64022289 85363052 85454234 104387208 128044578 128181351 170726104 170908468 256089156 256362702 341816936 512178312 512725404 726360989 1025450808 1452721978 1923231967 2179082967 2905443956 3846463934 4358165934 5769695901 5810887912 7692927868 8716331868 11539391802 15385855736 17432663736 23078783604 32694943439 46157567208 65389886878 98084830317 130779773756 196169660634 261559547512 321179738489 392339321268 642359476978 784678642536 963539215467 1284718953956 1927078430934 2569437907912 3854156861868 5460055554313 7708313723736 10920111108626 16380166662939 21840222217252 32760333325878 43680444434504 65520666651756 131041333303512