Search a number
-
+
122100009 = 3411975039
BaseRepresentation
bin1110100011100…
…01100100101001
322111202022201120
413101301210221
5222224200014
620041005453
73011555463
oct721614451
9274668646
10122100009
1162a165a9
1234a83889
131c3b0a35
1412305133
15aabcba9
hex7471929

122100009 has 16 divisors (see below), whose sum is σ = 167650560. Its totient is φ = 78995840.

The previous prime is 122100007. The next prime is 122100029. The reversal of 122100009 is 900001221.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 122100009 - 21 = 122100007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (122100007) 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 in 15 ways as a sum of consecutive naturals, for example, 21712 + ... + 26750.

It is an arithmetic number, because the mean of its divisors is an integer number (10478160).

Almost surely, 2122100009 is an apocalyptic number.

It is an amenable number.

122100009 is a deficient number, since it is larger than the sum of its proper divisors (45550551).

122100009 is a wasteful number, since it uses less digits than its factorization.

122100009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 122100009 is about 11049.8872844930. The cubic root of 122100009 is about 496.1030518297.

The spelling of 122100009 in words is "one hundred twenty-two million, one hundred thousand, nine".

Divisors: 1 3 41 123 197 591 5039 8077 15117 24231 206599 619797 992683 2978049 40700003 122100009