Search a number
-
+
1122120009 = 321378811033
BaseRepresentation
bin100001011100010…
…0011000101001001
32220012110121021100
41002320203011021
54244230320014
6303202532013
736543601623
oct10270430511
92805417240
101122120009
1152645340a
12273967009
1314b62704a
14a9059c13
15687a5009
hex42e23149

1122120009 has 24 divisors (see below), whose sum is σ = 1636106472. Its totient is φ = 741058560.

The previous prime is 1122119987. The next prime is 1122120049. The reversal of 1122120009 is 9000212211.

It can be written as a sum of positive squares in 4 ways, for example, as 315843984 + 806276025 = 17772^2 + 28395^2 .

It is not a de Polignac number, because 1122120009 - 212 = 1122115913 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1122119973 and 1122120000.

It is not an unprimeable number, because it can be changed into a prime (1122120049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1085757 + ... + 1086789.

It is an arithmetic number, because the mean of its divisors is an integer number (68171103).

Almost surely, 21122120009 is an apocalyptic number.

It is an amenable number.

1122120009 is a deficient number, since it is larger than the sum of its proper divisors (513986463).

1122120009 is a wasteful number, since it uses less digits than its factorization.

1122120009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1122120009 is about 33498.0597796350. The cubic root of 1122120009 is about 1039.1536534586.

The spelling of 1122120009 in words is "one billion, one hundred twenty-two million, one hundred twenty thousand, nine".

Divisors: 1 3 9 137 411 881 1033 1233 2643 3099 7929 9297 120697 141521 362091 424563 910073 1086273 1273689 2730219 8190657 124680001 374040003 1122120009