Search a number
-
+
106000055129 is a prime number
BaseRepresentation
bin110001010111000011…
…0000111101101011001
3101010121022210201112202
41202232012013231121
53214042003231004
6120410141015545
710441531413413
oct1425606075531
9333538721482
10106000055129
1140a552a4351
12186632545b5
139cc38c7617
1451b7c859b3
152b55d83b1e
hex18ae187b59

106000055129 has 2 divisors, whose sum is σ = 106000055130. Its totient is φ = 106000055128.

The previous prime is 106000055107. The next prime is 106000055143. The reversal of 106000055129 is 921550000601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62830435600 + 43169619529 = 250660^2 + 207773^2 .

It is a cyclic number.

It is not a de Polignac number, because 106000055129 - 224 = 105983277913 is a prime.

It is a super-2 number, since 2×1060000551292 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106000055429) 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, 53000027564 + 53000027565.

It is an arithmetic number, because the mean of its divisors is an integer number (53000027565).

Almost surely, 2106000055129 is an apocalyptic number.

It is an amenable number.

106000055129 is a deficient number, since it is larger than the sum of its proper divisors (1).

106000055129 is an equidigital number, since it uses as much as digits as its factorization.

106000055129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 29.

The spelling of 106000055129 in words is "one hundred six billion, fifty-five thousand, one hundred twenty-nine".