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230320021300 = 22522979420697
BaseRepresentation
bin1101011010000000100…
…1001001111100110100
3211000111101202100120021
43112200021021330310
512233143411140200
6253450233214524
722432354610365
oct3264011117464
9730441670507
10230320021300
1189750713a46
1238779861444
1318946aa2095
14b20cc31b6c
155ed021441a
hex35a0249f34

230320021300 has 36 divisors (see below), whose sum is σ = 517028743980. Its totient is φ = 88951179520.

The previous prime is 230320021289. The next prime is 230320021307. The reversal of 230320021300 is 3120023032.

It can be written as a sum of positive squares in 6 ways, for example, as 445800996 + 229874220304 = 21114^2 + 479452^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230320021307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39707449 + ... + 39713248.

It is an arithmetic number, because the mean of its divisors is an integer number (14361909555).

Almost surely, 2230320021300 is an apocalyptic number.

230320021300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230320021300 is an abundant number, since it is smaller than the sum of its proper divisors (286708722680).

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

230320021300 is a wasteful number, since it uses less digits than its factorization.

230320021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79420740 (or 79420733 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 230320021300 its reverse (3120023032), we get a palindrome (233440044332).

The spelling of 230320021300 in words is "two hundred thirty billion, three hundred twenty million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 79420697 158841394 317682788 397103485 794206970 1588413940 1985517425 2303200213 3971034850 4606400426 7942069700 9212800852 11516001065 23032002130 46064004260 57580005325 115160010650 230320021300