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100322013329 is a prime number
BaseRepresentation
bin101110101101110101…
…0000111000010010001
3100120221121120022111022
41131123222013002101
53120424413411304
6114030504525225
710151034020606
oct1353352070221
9316847508438
10100322013329
113960118551a
1217539780815
1395ca447185
144bd9b246ad
152922645ebe
hex175ba87091

100322013329 has 2 divisors, whose sum is σ = 100322013330. Its totient is φ = 100322013328.

The previous prime is 100322013299. The next prime is 100322013343. The reversal of 100322013329 is 923310223001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90625081600 + 9696931729 = 301040^2 + 98473^2 .

It is an emirp because it is prime and its reverse (923310223001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100322013329 - 28 = 100322013073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100322013298 and 100322013307.

It is not a weakly prime, because it can be changed into another prime (100322015329) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50161006664 + 50161006665.

It is an arithmetic number, because the mean of its divisors is an integer number (50161006665).

Almost surely, 2100322013329 is an apocalyptic number.

It is an amenable number.

100322013329 is a deficient number, since it is larger than the sum of its proper divisors (1).

100322013329 is an equidigital number, since it uses as much as digits as its factorization.

100322013329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 100322013329 in words is "one hundred billion, three hundred twenty-two million, thirteen thousand, three hundred twenty-nine".