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36130205101 is a prime number
BaseRepresentation
bin100001101001100001…
…110010110110101101
310110020222100120212111
4201221201302312231
51042443313030401
624333055404021
72416224450634
oct415141626655
9113228316774
1036130205101
1114360616941
127003b23611
13353a41bab3
141a6a66c51b
15e16dd0e51
hex869872dad

36130205101 has 2 divisors, whose sum is σ = 36130205102. Its totient is φ = 36130205100.

The previous prime is 36130205071. The next prime is 36130205113. The reversal of 36130205101 is 10150203163.

It is a happy number.

36130205101 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., 32960402500 + 3169802601 = 181550^2 + 56301^2 .

It is a cyclic number.

It is not a de Polignac number, because 36130205101 - 221 = 36128107949 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (36130205161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 18065102550 + 18065102551.

It is an arithmetic number, because the mean of its divisors is an integer number (18065102551).

Almost surely, 236130205101 is an apocalyptic number.

It is an amenable number.

36130205101 is a deficient number, since it is larger than the sum of its proper divisors (1).

36130205101 is an equidigital number, since it uses as much as digits as its factorization.

36130205101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 36130205101 its reverse (10150203163), we get a palindrome (46280408264).

The spelling of 36130205101 in words is "thirty-six billion, one hundred thirty million, two hundred five thousand, one hundred one".