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20330300106001 is a prime number
BaseRepresentation
bin1001001111101100001000…
…10100001110010100010001
32122222120001120101101211001
410213312010110032110101
510131042423311343001
6111123335543422001
74165546534423564
oct447660424162421
978876046341731
1020330300106001
116529039444456
122344194454901
13b461a6711842
14503dc56084db
15253c8769e001
hex127d8450e511

20330300106001 has 2 divisors, whose sum is σ = 20330300106002. Its totient is φ = 20330300106000.

The previous prime is 20330300105987. The next prime is 20330300106013. The reversal of 20330300106001 is 10060100303302.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11836689321601 + 8493610784400 = 3440449^2 + 2914380^2 .

It is a cyclic number.

It is not a de Polignac number, because 20330300106001 - 221 = 20330298008849 is a prime.

It is a super-2 number, since 2×203303001060012 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20330300106001.

It is not a weakly prime, because it can be changed into another prime (20330300106091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10165150053000 + 10165150053001.

It is an arithmetic number, because the mean of its divisors is an integer number (10165150053001).

Almost surely, 220330300106001 is an apocalyptic number.

It is an amenable number.

20330300106001 is a deficient number, since it is larger than the sum of its proper divisors (1).

20330300106001 is an equidigital number, since it uses as much as digits as its factorization.

20330300106001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 20330300106001 its reverse (10060100303302), we get a palindrome (30390400409303).

The spelling of 20330300106001 in words is "twenty trillion, three hundred thirty billion, three hundred million, one hundred six thousand, one".