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100283728381 is a prime number
BaseRepresentation
bin101110101100101100…
…0000100000111111101
3100120211221112020102021
41131121120010013331
53120340113302011
6114023020200141
710150060424644
oct1353130040775
9316757466367
10100283728381
1139591606471
1217528999051
1395c2531165
144bd49da35b
15291e0d2471
hex17596041fd

100283728381 has 2 divisors, whose sum is σ = 100283728382. Its totient is φ = 100283728380.

The previous prime is 100283728379. The next prime is 100283728397. The reversal of 100283728381 is 183827382001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67439415481 + 32844312900 = 259691^2 + 181230^2 .

It is a cyclic number.

It is not a de Polignac number, because 100283728381 - 21 = 100283728379 is a prime.

It is a super-2 number, since 2×1002837283812 (a number of 23 digits) contains 22 as substring.

Together with 100283728379, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100283728351) 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, 50141864190 + 50141864191.

It is an arithmetic number, because the mean of its divisors is an integer number (50141864191).

Almost surely, 2100283728381 is an apocalyptic number.

It is an amenable number.

100283728381 is a deficient number, since it is larger than the sum of its proper divisors (1).

100283728381 is an equidigital number, since it uses as much as digits as its factorization.

100283728381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129024, while the sum is 43.

The spelling of 100283728381 in words is "one hundred billion, two hundred eighty-three million, seven hundred twenty-eight thousand, three hundred eighty-one".