Search a number
-
+
101029109 is a prime number
BaseRepresentation
bin1100000010110…
…01010011110101
321001002210212212
412001121103311
5201330412414
614005223205
72334506336
oct601312365
9231083785
10101029109
1152034735
1229a01b05
1317c1404c
14d5bc28d
158d0983e
hex60594f5

101029109 has 2 divisors, whose sum is σ = 101029110. Its totient is φ = 101029108.

The previous prime is 101029091. The next prime is 101029139. The reversal of 101029109 is 901920101.

Together with previous prime (101029091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82992100 + 18037009 = 9110^2 + 4247^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101029109 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101029139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50514554 + 50514555.

It is an arithmetic number, because the mean of its divisors is an integer number (50514555).

Almost surely, 2101029109 is an apocalyptic number.

It is an amenable number.

101029109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101029109 is an equidigital number, since it uses as much as digits as its factorization.

101029109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 23.

The square root of 101029109 is about 10051.3237436668. The cubic root of 101029109 is about 465.7456860506.

The spelling of 101029109 in words is "one hundred one million, twenty-nine thousand, one hundred nine".