Search a number
-
+
204105642007 is a prime number
BaseRepresentation
bin1011111000010110100…
…1001111000000010111
3201111211110202220112111
42332011221033000113
511321002021021012
6233433112131451
720513633221531
oct2760551170027
9644743686474
10204105642007
117961934a873
1233682696b87
1316329aab447
149c43494851
155498b15ba7
hex2f85a4f017

204105642007 has 2 divisors, whose sum is σ = 204105642008. Its totient is φ = 204105642006.

The previous prime is 204105641983. The next prime is 204105642017. The reversal of 204105642007 is 700246501402.

204105642007 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 is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-204105642007 is a prime.

It is a super-2 number, since 2×2041056420072 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 204105642007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (204105642017) 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, 102052821003 + 102052821004.

It is an arithmetic number, because the mean of its divisors is an integer number (102052821004).

Almost surely, 2204105642007 is an apocalyptic number.

204105642007 is a deficient number, since it is larger than the sum of its proper divisors (1).

204105642007 is an equidigital number, since it uses as much as digits as its factorization.

204105642007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 204105642007 in words is "two hundred four billion, one hundred five million, six hundred forty-two thousand, seven".