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114300103013141 is a prime number
BaseRepresentation
bin11001111111010010010001…
…000010011011001100010101
3112222200222112201000010020212
4121333102101002123030111
5104440143102332410031
61043032424210535205
733034624051200233
oct3177222102331425
9488628481003225
10114300103013141
1133468446398391
12109a0161297505
134ba15b83558c6
142032223d59953
15d3331be2912b
hex67f49109b315

114300103013141 has 2 divisors, whose sum is σ = 114300103013142. Its totient is φ = 114300103013140.

The previous prime is 114300103013119. The next prime is 114300103013179. The reversal of 114300103013141 is 141310301003411.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64992377386225 + 49307725626916 = 8061785^2 + 7021946^2 .

It is a cyclic number.

It is not a de Polignac number, because 114300103013141 - 26 = 114300103013077 is a prime.

It is a super-3 number, since 3×1143001030131413 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (114300103013441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57150051506570 + 57150051506571.

It is an arithmetic number, because the mean of its divisors is an integer number (57150051506571).

Almost surely, 2114300103013141 is an apocalyptic number.

It is an amenable number.

114300103013141 is a deficient number, since it is larger than the sum of its proper divisors (1).

114300103013141 is an equidigital number, since it uses as much as digits as its factorization.

114300103013141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 114300103013141 its reverse (141310301003411), we get a palindrome (255610404016552).

The spelling of 114300103013141 in words is "one hundred fourteen trillion, three hundred billion, one hundred three million, thirteen thousand, one hundred forty-one".