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131344353332321 = 172329109250342457
BaseRepresentation
bin11101110111010011111101…
…100001100000110001100001
3122020001101201210222110202212
4131313103331201200301201
5114203421213423113241
61143202432443251505
736444213342404003
oct3567237541406141
9566041653873685
10131344353332321
1138939911352468
12128934ba219b95
13583994760545c
14246115a162373
15102b87c271beb
hex7774fd860c61

131344353332321 has 64 divisors (see below), whose sum is σ = 151562424499200. Its totient is φ = 113070895128576.

The previous prime is 131344353332249. The next prime is 131344353332371. The reversal of 131344353332321 is 123233353443131.

It is a de Polignac number, because none of the positive numbers 2k-131344353332321 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131344353332371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3093564125 + ... + 3093606581.

It is an arithmetic number, because the mean of its divisors is an integer number (2368162882800).

Almost surely, 2131344353332321 is an apocalyptic number.

It is an amenable number.

131344353332321 is a deficient number, since it is larger than the sum of its proper divisors (20218071166879).

131344353332321 is a wasteful number, since it uses less digits than its factorization.

131344353332321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45138.

The product of its digits is 699840, while the sum is 41.

The spelling of 131344353332321 in words is "one hundred thirty-one trillion, three hundred forty-four billion, three hundred fifty-three million, three hundred thirty-two thousand, three hundred twenty-one".

Divisors: 1 17 23 29 109 391 493 667 1853 2503 2507 3161 11339 42457 42551 42619 53737 57569 72587 72703 272827 721769 976511 978673 1231253 1233979 1235951 1669501 4627813 4638059 6275021 7911983 16600687 20931301 28318819 28381517 78672821 106269871 106439699 106675357 134206577 134503711 181975609 481419923 1806587807 1809474883 2281511809 2444207033 3081826259 3086751271 3093585353 11583415939 41551519561 52391046403 52474771607 70882003957 196918070963 266418566597 335919062231 1204994067269 4529115632149 5710624057927 7726138431313 131344353332321