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2412001142429 is a prime number
BaseRepresentation
bin100011000110010110011…
…110001010011010011101
322112120210111200102102112
4203012112132022122131
5304004234243024204
65044020311203405
7336155431301354
oct43062636123235
98476714612375
102412001142429
1184aa1884510a
1232b566376565
131465b2347208
1484a5488a99b
1542b1d2c026e
hex2319678a69d

2412001142429 has 2 divisors, whose sum is σ = 2412001142430. Its totient is φ = 2412001142428.

The previous prime is 2412001142351. The next prime is 2412001142521. The reversal of 2412001142429 is 9242411002142.

2412001142429 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2223757965529 + 188243176900 = 1491227^2 + 433870^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2412001142429 is a prime.

It is a super-2 number, since 2×24120011424292 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2412001142395 and 2412001142404.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2412001142029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1206000571214 + 1206000571215.

It is an arithmetic number, because the mean of its divisors is an integer number (1206000571215).

Almost surely, 22412001142429 is an apocalyptic number.

It is an amenable number.

2412001142429 is a deficient number, since it is larger than the sum of its proper divisors (1).

2412001142429 is an equidigital number, since it uses as much as digits as its factorization.

2412001142429 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 2412001142429 in words is "two trillion, four hundred twelve billion, one million, one hundred forty-two thousand, four hundred twenty-nine".