Search a number
-
+
1010324120 = 2351319310067
BaseRepresentation
bin111100001110000…
…101001010011000
32121102002210010212
4330032011022120
54032120332440
6244130430252
734015420241
oct7416051230
92542083125
101010324120
11479335513
12242432388
13131413430
1498277cc8
155da70465
hex3c385298

1010324120 has 64 divisors (see below), whose sum is σ = 2461021920. Its totient is φ = 371073024.

The previous prime is 1010324111. The next prime is 1010324129. The reversal of 1010324120 is 214230101.

It is an interprime number because it is at equal distance from previous prime (1010324111) and next prime (1010324129).

It is a junction number, because it is equal to n+sod(n) for n = 1010324095 and 1010324104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010324129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95327 + ... + 105393.

Almost surely, 21010324120 is an apocalyptic number.

1010324120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010324120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230510960).

1010324120 is an abundant number, since it is smaller than the sum of its proper divisors (1450697800).

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

1010324120 is a wasteful number, since it uses less digits than its factorization.

1010324120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10284 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1010324120 is about 31785.5961089296. The cubic root of 1010324120 is about 1003.4295977462.

Adding to 1010324120 its reverse (214230101), we get a palindrome (1224554221).

The spelling of 1010324120 in words is "one billion, ten million, three hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 193 260 386 520 772 965 1544 1930 2509 3860 5018 7720 10036 10067 12545 20072 20134 25090 40268 50180 50335 80536 100360 100670 130871 201340 261742 402680 523484 654355 1046968 1308710 1942931 2617420 3885862 5234840 7771724 9714655 15543448 19429310 25258103 38858620 50516206 77717240 101032412 126290515 202064824 252581030 505162060 1010324120