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2001133003230 = 232541557973631
BaseRepresentation
bin11101000111101100110…
…100100110000111011110
321002022021101210101012200
4131013230310212013132
5230241310022100410
64131150253112330
7264401640605334
oct35075464460736
97068241711180
102001133003230
11701748457999
122839bb4886a6
131169241cbc9a
146cbd913db54
15370c26d23c0
hex1d1ecd261de

2001133003230 has 96 divisors (see below), whose sum is σ = 5339421255168. Its totient is φ = 519684748800.

The previous prime is 2001133003147. The next prime is 2001133003237. The reversal of 2001133003230 is 323003311002.

2001133003230 is a `hidden beast` number, since 2 + 0 + 0 + 11 + 330 + 0 + 323 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001133003237) 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 47 ways as a sum of consecutive naturals, for example, 1568515 + ... + 2542145.

It is an arithmetic number, because the mean of its divisors is an integer number (55618971408).

Almost surely, 22001133003230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001133003230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2669710627584).

2001133003230 is an abundant number, since it is smaller than the sum of its proper divisors (3338288251938).

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

2001133003230 is a wasteful number, since it uses less digits than its factorization.

2001133003230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974242 (or 974239 counting only the distinct ones).

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

Adding to 2001133003230 its reverse (323003311002), we get a palindrome (2324136314232).

The spelling of 2001133003230 in words is "two trillion, one billion, one hundred thirty-three million, three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 557 615 738 1114 1230 1671 1845 2785 3342 3690 5013 5570 8355 10026 16710 22837 25065 45674 50130 68511 114185 137022 205533 228370 342555 411066 685110 973631 1027665 1947262 2055330 2920893 4868155 5841786 8762679 9736310 14604465 17525358 29208930 39918871 43813395 79837742 87626790 119756613 199594355 239513226 359269839 399188710 542312467 598783065 718539678 1084624934 1197566130 1626937401 1796349195 2711562335 3253874802 3592698390 4880812203 5423124670 8134687005 9761624406 16269374010 22234811147 24404061015 44469622294 48808122030 66704433441 111174055735 133408866882 200113300323 222348111470 333522167205 400226600646 667044334410 1000566501615 2001133003230