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412378013 is a prime number
BaseRepresentation
bin11000100101000…
…110001110011101
31001201221222021202
4120211012032131
51321032044023
6104530405245
713135104155
oct3045061635
91051858252
10412378013
111a185a783
12b6130825
1367586678
143caa7765
152630b128
hex1894639d

412378013 has 2 divisors, whose sum is σ = 412378014. Its totient is φ = 412378012.

The previous prime is 412378007. The next prime is 412378039. The reversal of 412378013 is 310873214.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 367795684 + 44582329 = 19178^2 + 6677^2 .

It is a cyclic number.

It is not a de Polignac number, because 412378013 - 24 = 412377997 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (412378003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206189006 + 206189007.

It is an arithmetic number, because the mean of its divisors is an integer number (206189007).

Almost surely, 2412378013 is an apocalyptic number.

It is an amenable number.

412378013 is a deficient number, since it is larger than the sum of its proper divisors (1).

412378013 is an equidigital number, since it uses as much as digits as its factorization.

412378013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 412378013 is about 20307.0926771904. The cubic root of 412378013 is about 744.3293894754.

The spelling of 412378013 in words is "four hundred twelve million, three hundred seventy-eight thousand, thirteen".