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2130401410117 is a prime number
BaseRepresentation
bin11111000000000101110…
…100011011110001000101
321112122221100002211202021
4133000011310123301011
5234401030230110432
64310405355443141
7306626222126221
oct37000564336105
97478840084667
102130401410117
11751553069312
122a4a771564b1
13125b85652286
147517d3a9781
153a63b1d2697
hex1f005d1bc45

2130401410117 has 2 divisors, whose sum is σ = 2130401410118. Its totient is φ = 2130401410116.

The previous prime is 2130401410087. The next prime is 2130401410217. The reversal of 2130401410117 is 7110141040312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1674309190401 + 456092219716 = 1293951^2 + 675346^2 .

It is a cyclic number.

It is not a de Polignac number, because 2130401410117 - 223 = 2130393021509 is a prime.

It is a super-2 number, since 2×21304014101172 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2130401410091 and 2130401410100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2130401410217) 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, 1065200705058 + 1065200705059.

It is an arithmetic number, because the mean of its divisors is an integer number (1065200705059).

Almost surely, 22130401410117 is an apocalyptic number.

It is an amenable number.

2130401410117 is a deficient number, since it is larger than the sum of its proper divisors (1).

2130401410117 is an equidigital number, since it uses as much as digits as its factorization.

2130401410117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 2130401410117 its reverse (7110141040312), we get a palindrome (9240542450429).

The spelling of 2130401410117 in words is "two trillion, one hundred thirty billion, four hundred one million, four hundred ten thousand, one hundred seventeen".