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200433321330 = 235112101546691
BaseRepresentation
bin1011101010101011000…
…0011100010101110010
3201011100112122200121120
42322222300130111302
511240441412240310
6232024445403110
720323632056334
oct2725260342562
9634315580546
10200433321330
1178004425a00
1232a18869496
1315b93029428
1499b587b454
15533151ab70
hex2eaac1c572

200433321330 has 96 divisors (see below), whose sum is σ = 533982504384. Its totient is φ = 48108720000.

The previous prime is 200433321311. The next prime is 200433321353. The reversal of 200433321330 is 33123334002.

It is a happy number.

200433321330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2004333213303 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200433321330.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93285 + ... + 639975.

It is an arithmetic number, because the mean of its divisors is an integer number (5562317754).

Almost surely, 2200433321330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200433321330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266991252192).

200433321330 is an abundant number, since it is smaller than the sum of its proper divisors (333549183054).

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

200433321330 is a wasteful number, since it uses less digits than its factorization.

200433321330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546824 (or 546813 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 200433321330 its reverse (33123334002), we get a palindrome (233556655332).

The spelling of 200433321330 in words is "two hundred billion, four hundred thirty-three million, three hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 121 165 202 242 303 330 363 505 605 606 726 1010 1111 1210 1515 1815 2222 3030 3333 3630 5555 6666 11110 12221 16665 24442 33330 36663 61105 73326 122210 183315 366630 546691 1093382 1640073 2733455 3280146 5466910 6013601 8200365 12027202 16400730 18040803 30068005 36081606 55215791 60136010 66149611 90204015 110431582 132299222 165647373 180408030 198448833 276078955 330748055 331294746 396897666 552157910 607373701 661496110 828236865 992244165 1214747402 1656473730 1822121103 1984488330 3036868505 3644242206 6073737010 6681110711 9110605515 13362221422 18221211030 20043332133 33405553555 40086664266 66811107110 100216660665 200433321330