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100124329 is a prime number
BaseRepresentation
bin1011111011111…
…00011010101001
320222101211202111
411331330122221
5201112434304
613534002321
72324020444
oct575743251
9228354674
10100124329
1151576988
12296463a1
1317988286
14d42465b
158bcb704
hex5f7c6a9

100124329 has 2 divisors, whose sum is σ = 100124330. Its totient is φ = 100124328.

The previous prime is 100124309. The next prime is 100124369. The reversal of 100124329 is 923421001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98307225 + 1817104 = 9915^2 + 1348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100124329 is a prime.

It is not a weakly prime, because it can be changed into another prime (100124309) 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, 50062164 + 50062165.

It is an arithmetic number, because the mean of its divisors is an integer number (50062165).

Almost surely, 2100124329 is an apocalyptic number.

It is an amenable number.

100124329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100124329 is an equidigital number, since it uses as much as digits as its factorization.

100124329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 100124329 is about 10006.2145189877. The cubic root of 100124329 is about 464.3511650620.

It can be divided in two parts, 10012 and 4329, that added together give a palindrome (14341).

The spelling of 100124329 in words is "one hundred million, one hundred twenty-four thousand, three hundred twenty-nine".