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100000120993 is a prime number
BaseRepresentation
bin101110100100001111…
…0001100000010100001
3100120010011212111012221
41131020132030002201
53114300012332433
6113534525351041
710140045001153
oct1351036140241
9316104774187
10100000120993
1139456508aa3
1217469a08481
139578852836
144ba9092ad3
15290426072d
hex174878c0a1

100000120993 has 2 divisors, whose sum is σ = 100000120994. Its totient is φ = 100000120992.

The previous prime is 100000120937. The next prime is 100000121017. The reversal of 100000120993 is 399021000001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70698555664 + 29301565329 = 265892^2 + 171177^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100000120993 is a prime.

It is a super-2 number, since 2×1000001209932 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100000120903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000060496 + 50000060497.

It is an arithmetic number, because the mean of its divisors is an integer number (50000060497).

Almost surely, 2100000120993 is an apocalyptic number.

It is an amenable number.

100000120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

100000120993 is an equidigital number, since it uses as much as digits as its factorization.

100000120993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 25.

Adding to 100000120993 its reverse (399021000001), we get a palindrome (499021120994).

The spelling of 100000120993 in words is "one hundred billion, one hundred twenty thousand, nine hundred ninety-three".