Search a number
-
+
10010400101197 is a prime number
BaseRepresentation
bin1001000110101011101001…
…0101111001001101001101
31022102222120222212010121121
42101222322111321031031
52303002244411214242
633142414143200541
72052141021632116
oct221527225711515
938388528763547
1010010400101197
11320a428982a81
1211580ba8a6151
13577c909c1362
1426871248120d
151255d7ed4667
hex91aba57934d

10010400101197 has 2 divisors, whose sum is σ = 10010400101198. Its totient is φ = 10010400101196.

The previous prime is 10010400101153. The next prime is 10010400101227. The reversal of 10010400101197 is 79110100401001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5482275713476 + 4528124387721 = 2341426^2 + 2127939^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010400101197 - 211 = 10010400099149 is a prime.

It is a super-2 number, since 2×100104001011972 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10010400101297) 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, 5005200050598 + 5005200050599.

It is an arithmetic number, because the mean of its divisors is an integer number (5005200050599).

Almost surely, 210010400101197 is an apocalyptic number.

It is an amenable number.

10010400101197 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010400101197 is an equidigital number, since it uses as much as digits as its factorization.

10010400101197 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 25.

Adding to 10010400101197 its reverse (79110100401001), we get a palindrome (89120500502198).

The spelling of 10010400101197 in words is "ten trillion, ten billion, four hundred million, one hundred one thousand, one hundred ninety-seven".