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100101320093 is a prime number
BaseRepresentation
bin101110100111010000…
…0001110110110011101
3100120101020021221021202
41131032200032312131
53120001414220333
6113552542405245
710142414116235
oct1351640166635
9316336257252
10100101320093
11394a8649415
1217497890825
1395937c6068
144bb86b6cc5
15290d0a05e8
hex174e80ed9d

100101320093 has 2 divisors, whose sum is σ = 100101320094. Its totient is φ = 100101320092.

The previous prime is 100101320063. The next prime is 100101320101. The reversal of 100101320093 is 390023101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95670820249 + 4430499844 = 309307^2 + 66562^2 .

It is a cyclic number.

It is not a de Polignac number, because 100101320093 - 218 = 100101057949 is a prime.

It is a super-2 number, since 2×1001013200932 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101320063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050660046 + 50050660047.

It is an arithmetic number, because the mean of its divisors is an integer number (50050660047).

Almost surely, 2100101320093 is an apocalyptic number.

It is an amenable number.

100101320093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101320093 is an equidigital number, since it uses as much as digits as its factorization.

100101320093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 100101320093 its reverse (390023101001), we get a palindrome (490124421094).

The spelling of 100101320093 in words is "one hundred billion, one hundred one million, three hundred twenty thousand, ninety-three".