Search a number
-
+
1120013010 = 232529342473
BaseRepresentation
bin100001011000010…
…0000101011010010
32220001111120000100
41002300200223102
54243210404020
6303045433230
736516645024
oct10260405322
92801446010
101120013010
11525244396
1227310b816
1314b069cbc
14a8a6c014
15684daa90
hex42c20ad2

1120013010 has 48 divisors (see below), whose sum is σ = 2922041304. Its totient is φ = 297643776.

The previous prime is 1120013003. The next prime is 1120013021. The reversal of 1120013010 is 103100211.

It can be written as a sum of positive squares in 4 ways, for example, as 973627209 + 146385801 = 31203^2 + 12099^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1120012983 and 1120013001.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5134 + ... + 47606.

Almost surely, 21120013010 is an apocalyptic number.

1120013010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1120013010 is an abundant number, since it is smaller than the sum of its proper divisors (1802028294).

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

1120013010 is a wasteful number, since it uses less digits than its factorization.

1120013010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42779 (or 42776 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1120013010 is about 33466.5954348512. The cubic root of 1120013010 is about 1038.5028414468.

Adding to 1120013010 its reverse (103100211), we get a palindrome (1223113221).

The spelling of 1120013010 in words is "one billion, one hundred twenty million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 293 586 879 1465 1758 2637 2930 4395 5274 8790 13185 26370 42473 84946 127419 212365 254838 382257 424730 637095 764514 1274190 1911285 3822570 12444589 24889178 37333767 62222945 74667534 112001301 124445890 186668835 224002602 373337670 560006505 1120013010