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13022322131313 = 3211264718482311
BaseRepresentation
bin1011110101111111111011…
…1000101000000101110001
31201002220220000112021211200
42331133332320220011301
53201324203431200223
643410212221201413
72512555165523415
oct275377670500561
951086800467750
1013022322131313
114170810396400
121563991400269
13735ccc486741
143303d889ad45
15178b191e6a43
hexbd7fee28171

13022322131313 has 36 divisors (see below), whose sum is σ = 20707434506304. Its totient is φ = 7880117691600.

The previous prime is 13022322131309. The next prime is 13022322131341. The reversal of 13022322131313 is 31313122322031.

13022322131313 is a `hidden beast` number, since 1 + 3 + 0 + 22 + 322 + 1 + 3 + 1 + 313 = 666.

It is not a de Polignac number, because 13022322131313 - 22 = 13022322131309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13022322130313) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8536573 + ... + 9945738.

It is an arithmetic number, because the mean of its divisors is an integer number (575206514064).

Almost surely, 213022322131313 is an apocalyptic number.

It is an amenable number.

13022322131313 is a deficient number, since it is larger than the sum of its proper divisors (7685112374991).

13022322131313 is a wasteful number, since it uses less digits than its factorization.

13022322131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18482986 (or 18482972 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13022322131313 its reverse (31313122322031), we get a palindrome (44335444453344).

The spelling of 13022322131313 in words is "thirteen trillion, twenty-two billion, three hundred twenty-two million, one hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 11 33 99 121 363 647 1089 1941 5823 7117 21351 64053 78287 234861 704583 18482311 55446933 166340799 203305421 609916263 1829748789 2236359631 6709078893 11958055217 20127236679 35874165651 107622496953 131538607387 394615822161 1183847466483 1446924681257 4340774043771 13022322131313