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245555015141 is a prime number
BaseRepresentation
bin1110010010110000111…
…0000010110111100101
3212110211011002020012102
43210230032002313211
513010344040441031
6304450104101445
723512040122142
oct3445416026745
9773734066172
10245555015141
119515944a347
123b70ba64885
131a204208437
14bc563473c9
1565c29967cb
hex392c382de5

245555015141 has 2 divisors, whose sum is σ = 245555015142. Its totient is φ = 245555015140.

The previous prime is 245555015113. The next prime is 245555015143. The reversal of 245555015141 is 141510555542.

245555015141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 225368572900 + 20186442241 = 474730^2 + 142079^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-245555015141 is a prime.

Together with 245555015143, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 245555015095 and 245555015104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (245555015143) 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, 122777507570 + 122777507571.

It is an arithmetic number, because the mean of its divisors is an integer number (122777507571).

Almost surely, 2245555015141 is an apocalyptic number.

It is an amenable number.

245555015141 is a deficient number, since it is larger than the sum of its proper divisors (1).

245555015141 is an equidigital number, since it uses as much as digits as its factorization.

245555015141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 100000, while the sum is 38.

The spelling of 245555015141 in words is "two hundred forty-five billion, five hundred fifty-five million, fifteen thousand, one hundred forty-one".