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100344043829 is a prime number
BaseRepresentation
bin101110101110011111…
…0001001100100110101
3100121000011000120122202
41131130332021210311
53121001033400304
6114033013034245
710151422204511
oct1353476114465
9317004016582
10100344043829
1139612662347
1217545025985
139601b8b883
144bdca1b141
15292454881e
hex175cf89935

100344043829 has 2 divisors, whose sum is σ = 100344043830. Its totient is φ = 100344043828.

The previous prime is 100344043801. The next prime is 100344043831. The reversal of 100344043829 is 928340443001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83882640625 + 16461403204 = 289625^2 + 128302^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100344043829 is a prime.

Together with 100344043831, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100344043792 and 100344043801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100344043859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50172021914 + 50172021915.

It is an arithmetic number, because the mean of its divisors is an integer number (50172021915).

Almost surely, 2100344043829 is an apocalyptic number.

It is an amenable number.

100344043829 is a deficient number, since it is larger than the sum of its proper divisors (1).

100344043829 is an equidigital number, since it uses as much as digits as its factorization.

100344043829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 100344043829 in words is "one hundred billion, three hundred forty-four million, forty-three thousand, eight hundred twenty-nine".