Search a number
-
+
1121006120 = 235132155781
BaseRepresentation
bin100001011010001…
…0011001000101000
32220010101000022012
41002310103020220
54243434143440
6303123015052
736531252263
oct10264231050
92803330265
101121006120
11525862543
1227350a488
1314b327040
14a8c49cda
1568634e65
hex42d13228

1121006120 has 32 divisors (see below), whose sum is σ = 2716285320. Its totient is φ = 413909760.

The previous prime is 1121006113. The next prime is 1121006123. The reversal of 1121006120 is 216001211.

It can be written as a sum of positive squares in 4 ways, for example, as 771839524 + 349166596 = 27782^2 + 18686^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1121006095 and 1121006104.

It is not an unprimeable number, because it can be changed into a prime (1121006123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1077371 + ... + 1078410.

Almost surely, 21121006120 is an apocalyptic number.

1121006120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1121006120 is an abundant number, since it is smaller than the sum of its proper divisors (1595279200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1121006120 is a wasteful number, since it uses less digits than its factorization.

1121006120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155805 (or 2155801 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 1121006120 is about 33481.4294796384. The cubic root of 1121006120 is about 1038.8096958814.

Adding to 1121006120 its reverse (216001211), we get a palindrome (1337007331).

The spelling of 1121006120 in words is "one billion, one hundred twenty-one million, six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 2155781 4311562 8623124 10778905 17246248 21557810 28025153 43115620 56050306 86231240 112100612 140125765 224201224 280251530 560503060 1121006120