Search a number
-
+
1023023300 = 225213786941
BaseRepresentation
bin111100111110100…
…001100011000100
32122021222222010212
4330332201203010
54043343221200
6245302534552
734231361135
oct7476414304
92567888125
101023023300
11485519602
12246737458
13133c3b740
1499c21c8c
155ec2d035
hex3cfa18c4

1023023300 has 36 divisors (see below), whose sum is σ = 2390729796. Its totient is φ = 377731200.

The previous prime is 1023023269. The next prime is 1023023311. The reversal of 1023023300 is 33203201.

1023023300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 12292036 + 1010731264 = 3506^2 + 31792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392171 + ... + 394770.

It is an arithmetic number, because the mean of its divisors is an integer number (66409161).

Almost surely, 21023023300 is an apocalyptic number.

1023023300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1023023300 is an abundant number, since it is smaller than the sum of its proper divisors (1367706496).

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

1023023300 is a wasteful number, since it uses less digits than its factorization.

1023023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786968 (or 786961 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 1023023300 is about 31984.7354217602. The cubic root of 1023023300 is about 1007.6162783695.

Adding to 1023023300 its reverse (33203201), we get a palindrome (1056226501).

The spelling of 1023023300 in words is "one billion, twenty-three million, twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 786941 1573882 3147764 3934705 7869410 10230233 15738820 19673525 20460466 39347050 40920932 51151165 78694100 102302330 204604660 255755825 511511650 1023023300