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230203003033300 = 2252112165531149341
BaseRepresentation
bin110100010101111001010000…
…001110001101011011010100
31010012002012012002100101210111
4310111321100032031123110
5220133121222234031200
62133333444420132404
766326422005226123
oct6425712016153324
91105065162311714
10230203003033300
11673935aa917a00
122199aa73b37104
139b5b085c2437b
1440bbc55c47aba
151b93195c800ba
hexd15e5038d6d4

230203003033300 has 108 divisors (see below), whose sum is σ = 549115373733948. Its totient is φ = 83705052992000.

The previous prime is 230203003033097. The next prime is 230203003033307. The reversal of 230203003033300 is 3330300302032.

It can be written as a sum of positive squares in 6 ways, for example, as 22956689846596 + 207246313186704 = 4791314^2 + 14396052^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230203003033307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 199716630 + ... + 200865970.

Almost surely, 2230203003033300 is an apocalyptic number.

230203003033300 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 230203003033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274557686866974).

230203003033300 is an abundant number, since it is smaller than the sum of its proper divisors (318912370700648).

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

230203003033300 is a wasteful number, since it uses less digits than its factorization.

230203003033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165930 (or 1165912 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 22.

Adding to 230203003033300 its reverse (3330300302032), we get a palindrome (233533303335332).

The spelling of 230203003033300 in words is "two hundred thirty trillion, two hundred three billion, three million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 12100 16553 33106 66212 82765 165530 182083 331060 364166 413825 728332 827650 910415 1149341 1655300 1820830 2002913 2298682 3641660 4005826 4552075 4597364 5746705 8011652 9104150 10014565 11493410 12642751 18208300 20029130 22986820 25285502 28733525 40058260 50072825 50571004 57467050 63213755 100145650 114934100 126427510 139070261 200291300 252855020 278140522 316068775 556281044 632137550 695351305 1264275100 1390702610 2781405220 3476756525 6953513050 13907026100 19025041573 38050083146 76100166292 95125207865 190250415730 209275457303 380500831460 418550914606 475626039325 837101829212 951252078650 1046377286515 1902504157300 2092754573030 2302030030333 4185509146060 4604060060666 5231886432575 9208120121332 10463772865150 11510150151665 20927545730300 23020300303330 46040600606660 57550750758325 115101501516650 230203003033300