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121067114809 = 192183132
BaseRepresentation
bin111000011000000101…
…0011001000100111001
3102120111101010122211011
41300300022121010321
53440421140133214
6131341212233521
711514104332204
oct1606012310471
9376441118734
10121067114809
1147387259293
121b56916b8a1
13b5552c2a54
145c06d6493b
1532389e2ac4
hex1c30299139

121067114809 has 9 divisors (see below), whose sum is σ = 127781411823. Its totient is φ = 114688898352.

The previous prime is 121067114789. The next prime is 121067114837. The reversal of 121067114809 is 908411760121.

The square root of 121067114809 is 347947.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29664895225 + 91402219584 = 172235^2 + 302328^2 .

It is not a de Polignac number, because 121067114809 - 221 = 121065017657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121067114849) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6601837 + ... + 6620149.

It is an arithmetic number, because the mean of its divisors is an integer number (14197934647).

Almost surely, 2121067114809 is an apocalyptic number.

121067114809 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

121067114809 is the 347947-th square number.

121067114809 is the 173974-th centered octagonal number.

It is an amenable number.

121067114809 is a deficient number, since it is larger than the sum of its proper divisors (6714297014).

121067114809 is an frugal number, since it uses more digits than its factorization.

121067114809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36664 (or 18332 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 121067114809 in words is "one hundred twenty-one billion, sixty-seven million, one hundred fourteen thousand, eight hundred nine".

Divisors: 1 19 361 18313 347947 6610993 335365969 6371953411 121067114809