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230323124020 = 2251117353317431
BaseRepresentation
bin1101011010000001010…
…0111111011100110100
3211000111121120222200211
43112200110333130310
512233200204432040
6253450423515204
722432423152253
oct3264024773464
9730447528624
10230323124020
1189752443080
123877a8b8b04
131894761a402
14b20d3dc79a
155ed06288ea
hex35a053f734

230323124020 has 96 divisors (see below), whose sum is σ = 558877729536. Its totient is φ = 78800332800.

The previous prime is 230323123909. The next prime is 230323124021. The reversal of 230323124020 is 20421323032.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 230323123982 and 230323124000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230323124021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13204705 + ... + 13222135.

It is an arithmetic number, because the mean of its divisors is an integer number (5821643016).

Almost surely, 2230323124020 is an apocalyptic number.

230323124020 is a gapful number since it is divisible by the number (20) 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 230323124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279438864768).

230323124020 is an abundant number, since it is smaller than the sum of its proper divisors (328554605516).

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

230323124020 is a wasteful number, since it uses less digits than its factorization.

230323124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21001 (or 20999 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 230323124020 its reverse (20421323032), we get a palindrome (250744447052).

The spelling of 230323124020 in words is "two hundred thirty billion, three hundred twenty-three million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3533 3740 7066 14132 17431 17665 34862 35330 38863 60061 69724 70660 77726 87155 120122 155452 174310 191741 194315 240244 296327 300305 348620 383482 388630 592654 600610 660671 766964 777260 958705 1185308 1201220 1321342 1481635 1917410 2642684 2963270 3259597 3303355 3834820 5926540 6519194 6606710 13038388 13213420 16297985 32595970 61583723 65191940 123167446 246334892 307918615 615837230 677420953 1046923291 1231674460 1354841906 2093846582 2709683812 3387104765 4187693164 5234616455 6774209530 10469232910 11516156201 13548419060 20938465820 23032312402 46064624804 57580781005 115161562010 230323124020