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100001099993 is a prime number
BaseRepresentation
bin101110100100010000…
…1111011000011011001
3100120010020201020011012
41131020201323003121
53114300240144433
6113535002343305
710140056216324
oct1351041730331
9316106636135
10100001099993
1139457017593
121746a1bab35
139578b06322
144ba92697bb
1529043a5848
hex174887b0d9

100001099993 has 2 divisors, whose sum is σ = 100001099994. Its totient is φ = 100001099992.

The previous prime is 100001099963. The next prime is 100001100053. The reversal of 100001099993 is 399990100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53568176704 + 46432923289 = 231448^2 + 215483^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001099993 - 230 = 98927358169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100001099993.

It is not a weakly prime, because it can be changed into another prime (100001099963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000549996 + 50000549997.

It is an arithmetic number, because the mean of its divisors is an integer number (50000549997).

Almost surely, 2100001099993 is an apocalyptic number.

It is an amenable number.

100001099993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001099993 is an equidigital number, since it uses as much as digits as its factorization.

100001099993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19683, while the sum is 41.

Adding to 100001099993 its reverse (399990100001), we get a palindrome (499991199994).

The spelling of 100001099993 in words is "one hundred billion, one million, ninety-nine thousand, nine hundred ninety-three".