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121089384441 = 3219326012
BaseRepresentation
bin111000011000101111…
…1010101111111111001
3102120112221001002000100
41300301133111333321
53440442340300231
6131343325430013
711514464533224
oct1606137257771
9376487032010
10121089384441
1147398889843
121b57470b309
13b559abc24c
145c09cc05bb
15323a9411e6
hex1c317d5ff9

121089384441 has 27 divisors (see below), whose sum is σ = 176110866477. Its totient is φ = 80174361600.

The previous prime is 121089384401. The next prime is 121089384467. The reversal of 121089384441 is 144483980121.

The square root of 121089384441 is 347979.

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

121089384441 is a `hidden beast` number, since 12 + 108 + 93 + 8 + 4 + 441 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1301405625 + 119787978816 = 36075^2 + 346104^2 .

It is a de Polignac number, because none of the positive numbers 2k-121089384441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121089384401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 201479541 + ... + 201480141.

Almost surely, 2121089384441 is an apocalyptic number.

121089384441 is the 347979-th square number.

121089384441 is the 173990-th centered octagonal number.

It is an amenable number.

121089384441 is a deficient number, since it is larger than the sum of its proper divisors (55021482036).

121089384441 is an frugal number, since it uses more digits than its factorization.

121089384441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 121089384441 in words is "one hundred twenty-one billion, eighty-nine million, three hundred eighty-four thousand, four hundred forty-one".

Divisors: 1 3 9 193 579 601 1737 1803 5409 37249 111747 115993 335241 347979 361201 1043937 1083603 3250809 22386649 67159947 69711793 201479841 209135379 627406137 13454376049 40363128147 121089384441