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100322013131 is a prime number
BaseRepresentation
bin101110101101110101…
…0000110111111001011
3100120221121120022012222
41131123222012333023
53120424413410011
6114030504524255
710151034020204
oct1353352067713
9316847508188
10100322013131
113960118535a
121753978068b
1395ca447062
144bd9b245ab
152922645ddb
hex175ba86fcb

100322013131 has 2 divisors, whose sum is σ = 100322013132. Its totient is φ = 100322013130.

The previous prime is 100322013089. The next prime is 100322013191. The reversal of 100322013131 is 131310223001.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 100322013131 - 26 = 100322013067 is a prime.

It is a super-2 number, since 2×1003220131312 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100322013191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50161006565 + 50161006566.

It is an arithmetic number, because the mean of its divisors is an integer number (50161006566).

Almost surely, 2100322013131 is an apocalyptic number.

100322013131 is a deficient number, since it is larger than the sum of its proper divisors (1).

100322013131 is an equidigital number, since it uses as much as digits as its factorization.

100322013131 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100322013131 its reverse (131310223001), we get a palindrome (231632236132).

The spelling of 100322013131 in words is "one hundred billion, three hundred twenty-two million, thirteen thousand, one hundred thirty-one".