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100211331329 is a prime number
BaseRepresentation
bin101110101010100001…
…1111001000100000001
3100120122220022002022222
41131111003321010001
53120213100100304
6114011512340425
710145221155554
oct1352503710401
9316586262288
10100211331329
113955475849a
12175086a4715
1395b0533575
144bc915269b
152917a814be
hex17550f9101

100211331329 has 2 divisors, whose sum is σ = 100211331330. Its totient is φ = 100211331328.

The previous prime is 100211331313. The next prime is 100211331331. The reversal of 100211331329 is 923133112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63597274225 + 36614057104 = 252185^2 + 191348^2 .

It is a cyclic number.

It is not a de Polignac number, because 100211331329 - 24 = 100211331313 is a prime.

Together with 100211331331, 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 = 100211331298 and 100211331307.

It is not a weakly prime, because it can be changed into another prime (100211331359) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50105665664 + 50105665665.

It is an arithmetic number, because the mean of its divisors is an integer number (50105665665).

Almost surely, 2100211331329 is an apocalyptic number.

It is an amenable number.

100211331329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100211331329 is an equidigital number, since it uses as much as digits as its factorization.

100211331329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 26.

The spelling of 100211331329 in words is "one hundred billion, two hundred eleven million, three hundred thirty-one thousand, three hundred twenty-nine".