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2120100029 is a prime number
BaseRepresentation
bin111111001011110…
…0010100010111101
312110202100020111022
41332113202202331
513320221200104
6550213033525
7103352360435
oct17627424275
95422306438
102120100029
11998817593
124b20258a5
1327a307978
141617dd2c5
15c61d7bbe
hex7e5e28bd

2120100029 has 2 divisors, whose sum is σ = 2120100030. Its totient is φ = 2120100028.

The previous prime is 2120100023. The next prime is 2120100053. The reversal of 2120100029 is 9200010212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1834151929 + 285948100 = 42827^2 + 16910^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2120100029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2120100023) 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, 1060050014 + 1060050015.

It is an arithmetic number, because the mean of its divisors is an integer number (1060050015).

Almost surely, 22120100029 is an apocalyptic number.

It is an amenable number.

2120100029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120100029 is an equidigital number, since it uses as much as digits as its factorization.

2120100029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 2120100029 is about 46044.5439655992. The cubic root of 2120100029 is about 1284.6518618633.

The spelling of 2120100029 in words is "two billion, one hundred twenty million, one hundred thousand, twenty-nine".