Search a number
-
+
10121199163 is a prime number
BaseRepresentation
bin10010110110100010…
…10011111000111011
3222010100211012010021
421123101103320323
5131212011333123
64352152231311
7505545526165
oct113321237073
928110735107
1010121199163
114324175809
121b6569b537
13c53b4415a
146c02b1935
153e384dc5d
hex25b453e3b

10121199163 has 2 divisors, whose sum is σ = 10121199164. Its totient is φ = 10121199162.

The previous prime is 10121199047. The next prime is 10121199227. The reversal of 10121199163 is 36199112101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10121199163 is a prime.

It is a super-2 number, since 2×101211991632 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10121199563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060599581 + 5060599582.

It is an arithmetic number, because the mean of its divisors is an integer number (5060599582).

Almost surely, 210121199163 is an apocalyptic number.

10121199163 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121199163 is an equidigital number, since it uses as much as digits as its factorization.

10121199163 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 34.

The spelling of 10121199163 in words is "ten billion, one hundred twenty-one million, one hundred ninety-nine thousand, one hundred sixty-three".