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100323131021 is a prime number
BaseRepresentation
bin101110101101110111…
…0010111111010001101
3100120221200200002200022
41131123232113322031
53120430210143041
6114030544511525
710151046354311
oct1353356277215
9316850602608
10100323131021
1139601879233
121753a01b5a5
1395ca748b29
144bd9d35b41
1529227b724b
hex175bb97e8d

100323131021 has 2 divisors, whose sum is σ = 100323131022. Its totient is φ = 100323131020.

The previous prime is 100323130981. The next prime is 100323131057. The reversal of 100323131021 is 120131323001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63378062500 + 36945068521 = 251750^2 + 192211^2 .

It is an emirp because it is prime and its reverse (120131323001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100323131021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100323131071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50161565510 + 50161565511.

It is an arithmetic number, because the mean of its divisors is an integer number (50161565511).

Almost surely, 2100323131021 is an apocalyptic number.

It is an amenable number.

100323131021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100323131021 is an equidigital number, since it uses as much as digits as its factorization.

100323131021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 100323131021 its reverse (120131323001), we get a palindrome (220454454022).

The spelling of 100323131021 in words is "one hundred billion, three hundred twenty-three million, one hundred thirty-one thousand, twenty-one".