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122212101 = 31136710091
BaseRepresentation
bin1110100100011…
…00111100000101
322111222000111010
413102030330011
5222241241401
620043232433
73012533334
oct722147405
9274860433
10122212101
1162a92840
1234b18719
131c41ca6b
1412333d1b
15aae0ed6
hex748cf05

122212101 has 16 divisors (see below), whose sum is σ = 178265088. Its totient is φ = 73858800.

The previous prime is 122212093. The next prime is 122212141. The reversal of 122212101 is 101212221.

It is not a de Polignac number, because 122212101 - 23 = 122212093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122212141) 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, 7066 + ... + 17156.

It is an arithmetic number, because the mean of its divisors is an integer number (11141568).

Almost surely, 2122212101 is an apocalyptic number.

122212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122212101 is a deficient number, since it is larger than the sum of its proper divisors (56052987).

122212101 is a wasteful number, since it uses less digits than its factorization.

122212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 122212101 is about 11054.9582088762. The cubic root of 122212101 is about 496.2548186078.

Adding to 122212101 its reverse (101212221), we get a palindrome (223424322).

The spelling of 122212101 in words is "one hundred twenty-two million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 11 33 367 1101 4037 10091 12111 30273 111001 333003 3703397 11110191 40737367 122212101