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131202133311321 = 3261981235201349
BaseRepresentation
bin11101110101001111100000…
…100011001011111101011001
3122012112210122020220211201200
4131311033200203023331121
5114144103432111430241
61143013232234504413
736431020113231162
oct3565174043137531
9565483566824650
10131202133311321
113889456a904726
121286ba28b95109
135829400b21c87
142458307b64769
151027d066cb4b6
hex7753e08cbf59

131202133311321 has 12 divisors (see below), whose sum is σ = 189517250984100. Its totient is φ = 87466677294240.

The previous prime is 131202133311289. The next prime is 131202133311331. The reversal of 131202133311321 is 123113331202131.

131202133311321 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 0 + 2 + 1 + 3 + 331 + 1 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24796306608921 + 106405826702400 = 4979589^2 + 10315320^2 .

It is not a de Polignac number, because 131202133311321 - 25 = 131202133311289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131202133311331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117042846 + ... + 118158503.

It is an arithmetic number, because the mean of its divisors is an integer number (15793104248675).

Almost surely, 2131202133311321 is an apocalyptic number.

It is an amenable number.

131202133311321 is a deficient number, since it is larger than the sum of its proper divisors (58315117672779).

131202133311321 is a wasteful number, since it uses less digits than its factorization.

131202133311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235263336 (or 235263333 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 131202133311321 its reverse (123113331202131), we get a palindrome (254315464513452).

The spelling of 131202133311321 in words is "one hundred thirty-one trillion, two hundred two billion, one hundred thirty-three million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 9 61981 185943 557829 235201349 705604047 2116812141 14578014812369 43734044437107 131202133311321