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245515004129 is a prime number
BaseRepresentation
bin1110010010100111010…
…1011010100011100001
3212110201100210110102002
43210221311122203201
513010303320113004
6304442114333345
723511043050023
oct3445165324341
9773640713362
10245515004129
119513890149a
123b6ba58a255
131a1c8b39895
14bc50cd0013
1565be1e161e
hex3929d5a8e1

245515004129 has 2 divisors, whose sum is σ = 245515004130. Its totient is φ = 245515004128.

The previous prime is 245515004101. The next prime is 245515004197. The reversal of 245515004129 is 921400515542.

245515004129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 176950629025 + 68564375104 = 420655^2 + 261848^2 .

It is a cyclic number.

It is not a de Polignac number, because 245515004129 - 28 = 245515003873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 245515004092 and 245515004101.

It is not a weakly prime, because it can be changed into another prime (245515004429) 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, 122757502064 + 122757502065.

It is an arithmetic number, because the mean of its divisors is an integer number (122757502065).

Almost surely, 2245515004129 is an apocalyptic number.

It is an amenable number.

245515004129 is a deficient number, since it is larger than the sum of its proper divisors (1).

245515004129 is an equidigital number, since it uses as much as digits as its factorization.

245515004129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 245515004129 in words is "two hundred forty-five billion, five hundred fifteen million, four thousand, one hundred twenty-nine".