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230003211330 = 232531569144883
BaseRepresentation
bin1101011000110101000…
…0100111110001000010
3210222200022121201222200
43112031100213301002
512232021310230310
6253354555014030
722421460016224
oct3261520476102
9728608551880
10230003211330
11895a88a8a22
12386ab73a316
13188c6269b69
14b1bcb24414
155eb24d49c0
hex358d427c42

230003211330 has 96 divisors (see below), whose sum is σ = 618388093440. Its totient is φ = 59250942720.

The previous prime is 230003211307. The next prime is 230003211341. The reversal of 230003211330 is 33112300032.

230003211330 is a `hidden beast` number, since 2 + 300 + 0 + 32 + 1 + 1 + 330 = 666.

It is a super-2 number, since 2×2300032113302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1515069 + ... + 1659951.

It is an arithmetic number, because the mean of its divisors is an integer number (6441542640).

Almost surely, 2230003211330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230003211330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309194046720).

230003211330 is an abundant number, since it is smaller than the sum of its proper divisors (388384882110).

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

230003211330 is a wasteful number, since it uses less digits than its factorization.

230003211330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145496 (or 145493 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 230003211330 its reverse (33112300032), we get a palindrome (263115511362).

The spelling of 230003211330 in words is "two hundred thirty billion, three million, two hundred eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 569 930 1138 1395 1707 2790 2845 3414 5121 5690 8535 10242 17070 17639 25605 35278 51210 52917 88195 105834 144883 158751 176390 264585 289766 317502 434649 529170 724415 793755 869298 1303947 1448830 1587510 2173245 2607894 4346490 4491373 6519735 8982746 13039470 13474119 22456865 26948238 40422357 44913730 67370595 80844714 82438427 134741190 164876854 202111785 247315281 404223570 412192135 494630562 741945843 824384270 1236576405 1483891686 2473152810 2555591237 3709729215 5111182474 7419458430 7666773711 12777956185 15333547422 23000321133 25555912370 38333868555 46000642266 76667737110 115001605665 230003211330