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100303322129 is a prime number
BaseRepresentation
bin101110101101010001…
…0110011110000010001
3100120220022101200222122
41131122202303300101
53120410122302004
6114025000144025
710150416112403
oct1353242636021
9316808350878
10100303322129
11395a167954a
1217533468015
1395c66016aa
144bd745ab73
152920ba2cbe
hex175a8b3c11

100303322129 has 2 divisors, whose sum is σ = 100303322130. Its totient is φ = 100303322128.

The previous prime is 100303322107. The next prime is 100303322149. The reversal of 100303322129 is 921223303001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75418890625 + 24884431504 = 274625^2 + 157748^2 .

It is a cyclic number.

It is not a de Polignac number, because 100303322129 - 212 = 100303318033 is a prime.

It is a super-2 number, since 2×1003033221292 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100303322098 and 100303322107.

It is not a weakly prime, because it can be changed into another prime (100303322149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50151661064 + 50151661065.

It is an arithmetic number, because the mean of its divisors is an integer number (50151661065).

Almost surely, 2100303322129 is an apocalyptic number.

It is an amenable number.

100303322129 is a deficient number, since it is larger than the sum of its proper divisors (1).

100303322129 is an equidigital number, since it uses as much as digits as its factorization.

100303322129 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 100303322129 in words is "one hundred billion, three hundred three million, three hundred twenty-two thousand, one hundred twenty-nine".