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2105378101 is a prime number
BaseRepresentation
bin111110101111101…
…1000010100110101
312102201122021210201
41331133120110311
513302434044401
6544525320501
7103113263401
oct17537302465
95381567721
102105378101
11990481802
124a9106131
13277251a78
1415d88a101
15c4c7ab01
hex7d7d8535

2105378101 has 2 divisors, whose sum is σ = 2105378102. Its totient is φ = 2105378100.

The previous prime is 2105378089. The next prime is 2105378173. The reversal of 2105378101 is 1018735012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1887815601 + 217562500 = 43449^2 + 14750^2 .

It is a cyclic number.

It is not a de Polignac number, because 2105378101 - 213 = 2105369909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2105378101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2105378701) 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, 1052689050 + 1052689051.

It is an arithmetic number, because the mean of its divisors is an integer number (1052689051).

Almost surely, 22105378101 is an apocalyptic number.

It is an amenable number.

2105378101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2105378101 is an equidigital number, since it uses as much as digits as its factorization.

2105378101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 2105378101 is about 45884.3993204662. The cubic root of 2105378101 is about 1281.6714210452.

The spelling of 2105378101 in words is "two billion, one hundred five million, three hundred seventy-eight thousand, one hundred one".