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20831218387201 is a prime number
BaseRepresentation
bin1001011110010001001010…
…10111110100100100000001
32201202110000102111122001101
410233020211113310210001
510212244313401342301
6112145421332534401
74250002003522015
oct457104527644401
981673012448041
1020831218387201
116701519790132
122405290a81401
13b814b5b86c71
14520344786545
15261d03c20701
hex12f2255f4901

20831218387201 has 2 divisors, whose sum is σ = 20831218387202. Its totient is φ = 20831218387200.

The previous prime is 20831218387163. The next prime is 20831218387219. The reversal of 20831218387201 is 10278381213802.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20204665401600 + 626552985601 = 4494960^2 + 791551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20831218387201 is a prime.

It is a super-2 number, since 2×208312183872012 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20831218387241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10415609193600 + 10415609193601.

It is an arithmetic number, because the mean of its divisors is an integer number (10415609193601).

Almost surely, 220831218387201 is an apocalyptic number.

It is an amenable number.

20831218387201 is a deficient number, since it is larger than the sum of its proper divisors (1).

20831218387201 is an equidigital number, since it uses as much as digits as its factorization.

20831218387201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 20831218387201 in words is "twenty trillion, eight hundred thirty-one billion, two hundred eighteen million, three hundred eighty-seven thousand, two hundred one".