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132521344434323 = 132172317912239161
BaseRepresentation
bin11110001000011100000111…
…101010010000000010010011
3122101012220202100101110101222
4132020130013222100002103
5114332212203133344243
61145503244251315255
736625231311610535
oct3610340752200223
9571186670343358
10132521344434323
1139252a94121979
1212a4363614bb2b
1358c392b036c00
1424a20d2923855
15104c2b6e91168
hex788707a90093

132521344434323 has 96 divisors (see below), whose sum is σ = 159580215383040. Its totient is φ = 109409225502720.

The previous prime is 132521344434319. The next prime is 132521344434343. The reversal of 132521344434323 is 323434443125231.

It is not a de Polignac number, because 132521344434323 - 22 = 132521344434319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132521344434313) 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 95 ways as a sum of consecutive naturals, for example, 14465811863 + ... + 14465821023.

It is an arithmetic number, because the mean of its divisors is an integer number (1662293910240).

Almost surely, 2132521344434323 is an apocalyptic number.

132521344434323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132521344434323 is a deficient number, since it is larger than the sum of its proper divisors (27058870948717).

132521344434323 is a wasteful number, since it uses less digits than its factorization.

132521344434323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10629 (or 10616 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 44.

Adding to 132521344434323 its reverse (323434443125231), we get a palindrome (455955787559554).

The spelling of 132521344434323 in words is "one hundred thirty-two trillion, five hundred twenty-one billion, three hundred forty-four million, four hundred thirty-four thousand, three hundred twenty-three".

Divisors: 1 13 17 23 169 179 221 299 391 1223 2327 2873 3043 3887 4117 5083 9161 15899 20791 28129 30251 39559 53521 66079 69989 119093 155737 206687 210703 218917 270283 365677 478193 514267 695773 909857 1548209 1639819 2024581 2739139 2845921 3513679 3581951 3721589 4753801 5035091 6216509 11203903 11828141 21317647 26319553 27876923 35608807 36996973 37715837 46565363 48380657 65456183 80814617 85596547 145650739 190466351 257689769 277129411 362399999 490305881 605349719 628948541 641169229 850930379 1112755111 1893459607 2005498637 2476062563 3349966997 4380726073 4711199987 6373976453 8335199977 14465816443 26071482281 32188813319 34093476829 43549570961 46126468651 56949438949 108357599701 338929269653 443215198777 599644092463 740342706337 784149967067 5761797584101 7795373202019 10193949571871 132521344434323