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2024120101 is a prime number
BaseRepresentation
bin111100010100101…
…1001111100100101
312020001201221210011
41320221121330211
513121133320401
6532503530221
7101105510533
oct17051317445
95201657704
102024120101
11949621433
12485a59971
13263470c03
14152b77153
15bca79451
hex78a59f25

2024120101 has 2 divisors, whose sum is σ = 2024120102. Its totient is φ = 2024120100.

The previous prime is 2024120057. The next prime is 2024120173. The reversal of 2024120101 is 1010214202.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1041611076 + 982509025 = 32274^2 + 31345^2 .

It is a cyclic number.

It is not a de Polignac number, because 2024120101 - 215 = 2024087333 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2024120401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1012060050 + 1012060051.

It is an arithmetic number, because the mean of its divisors is an integer number (1012060051).

Almost surely, 22024120101 is an apocalyptic number.

It is an amenable number.

2024120101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2024120101 is an equidigital number, since it uses as much as digits as its factorization.

2024120101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 2024120101 is about 44990.2222821804. Note that the first 4 decimals coincide. The cubic root of 2024120101 is about 1264.9657280575.

Adding to 2024120101 its reverse (1010214202), we get a palindrome (3034334303).

The spelling of 2024120101 in words is "two billion, twenty-four million, one hundred twenty thousand, one hundred one".