Search a number
-
+
10304311300 = 2252372784949
BaseRepresentation
bin10011001100010111…
…10101000000000100
3222121010101020202021
421212023311000010
5132100400430200
64422253052524
7513231125623
oct114613650004
928533336667
1010304311300
114408573658
121bb6a87144
13c82a6772a
146da7396ba
1540496e41a
hex2662f5004

10304311300 has 36 divisors (see below), whose sum is σ = 22964697700. Its totient is φ = 4010325120.

The previous prime is 10304311279. The next prime is 10304311301. The reversal of 10304311300 is 311340301.

It can be written as a sum of positive squares in 6 ways, for example, as 428324416 + 9875986884 = 20696^2 + 99378^2 .

It is not an unprimeable number, because it can be changed into a prime (10304311301) 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 11 ways as a sum of consecutive naturals, for example, 1388775 + ... + 1396174.

Almost surely, 210304311300 is an apocalyptic number.

10304311300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10304311300 is an abundant number, since it is smaller than the sum of its proper divisors (12660386400).

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

10304311300 is a wasteful number, since it uses less digits than its factorization.

10304311300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2785000 (or 2784993 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 10304311300 its reverse (311340301), we get a palindrome (10615651601).

The spelling of 10304311300 in words is "ten billion, three hundred four million, three hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 2784949 5569898 11139796 13924745 27849490 55698980 69623725 103043113 139247450 206086226 278494900 412172452 515215565 1030431130 2060862260 2576077825 5152155650 10304311300