Search a number
-
+
1130120325 = 32525397977
BaseRepresentation
bin100001101011100…
…0100010010000101
32220202112001122100
41003113010102011
54303302322300
6304050222313
740001602305
oct10327042205
92822461570
101130120325
1152aa18144
12276584999
13150198669
14aa13d605
1569335700
hex435c4485

1130120325 has 72 divisors (see below), whose sum is σ = 2085757128. Its totient is φ = 584663040.

The previous prime is 1130120317. The next prime is 1130120353. The reversal of 1130120325 is 5230210311.

It can be written as a sum of positive squares in 12 ways, for example, as 36759969 + 1093360356 = 6063^2 + 33066^2 .

It is not a de Polignac number, because 1130120325 - 23 = 1130120317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1130120298 and 1130120307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1156237 + ... + 1157213.

It is an arithmetic number, because the mean of its divisors is an integer number (28968849).

Almost surely, 21130120325 is an apocalyptic number.

1130120325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1130120325 is a deficient number, since it is larger than the sum of its proper divisors (955636803).

1130120325 is a wasteful number, since it uses less digits than its factorization.

1130120325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1130120325 is about 33617.2623067376. The cubic root of 1130120325 is about 1041.6174059549.

Adding to 1130120325 its reverse (5230210311), we get a palindrome (6360330636).

It can be divided in two parts, 11301 and 20325, that added together give a triangular number (31626 = T251).

The spelling of 1130120325 in words is "one billion, one hundred thirty million, one hundred twenty thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 53 75 97 159 225 265 291 477 485 795 873 977 1325 1455 2385 2425 2931 3975 4365 4885 5141 7275 8793 11925 14655 15423 21825 24425 25705 43965 46269 51781 73275 77115 94769 128525 155343 219825 231345 258905 284307 385575 466029 473845 776715 852921 1156725 1294525 1421535 2330145 2369225 3883575 4264605 5022757 7107675 11650725 15068271 21323025 25113785 45204813 75341355 125568925 226024065 376706775 1130120325