Search a number
-
+
20075636742221 is a prime number
BaseRepresentation
bin1001001000010001110010…
…01100100101100001001101
32122002012201122100010012202
410210020321030211201031
510112404401001222341
6110410341544011245
74141262664514214
oct444107114454115
978065648303182
1020075636742221
11644003662aa55
122302962160b25
13b2818047b5c8
144d594772407b
1524c33027779b
hex12423932584d

20075636742221 has 2 divisors, whose sum is σ = 20075636742222. Its totient is φ = 20075636742220.

The previous prime is 20075636742193. The next prime is 20075636742277. The reversal of 20075636742221 is 12224763657002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18689530813321 + 1386105928900 = 4323139^2 + 1177330^2 .

It is a cyclic number.

It is not a de Polignac number, because 20075636742221 - 26 = 20075636742157 is a prime.

It is a super-3 number, since 3×200756367422213 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20075636744221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10037818371110 + 10037818371111.

It is an arithmetic number, because the mean of its divisors is an integer number (10037818371111).

Almost surely, 220075636742221 is an apocalyptic number.

It is an amenable number.

20075636742221 is a deficient number, since it is larger than the sum of its proper divisors (1).

20075636742221 is an equidigital number, since it uses as much as digits as its factorization.

20075636742221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 20075636742221 in words is "twenty trillion, seventy-five billion, six hundred thirty-six million, seven hundred forty-two thousand, two hundred twenty-one".