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330003203030112 = 25352343391514801
BaseRepresentation
bin100101100001000101101101…
…1101100001111110001100000
31121021102222221121201010122010
41023002023123230033301200
5321223233024433430422
63125505213435312520
7126336642002366433
oct11302133354176140
91537388847633563
10330003203030112
1196170632a434a7
12310189b8bab740
131121a226303b51
145b6c35135981a
152824219933b0c
hex12c22dbb0fc60

330003203030112 has 96 divisors (see below), whose sum is σ = 868115333312640. Its totient is φ = 109765364889600.

The previous prime is 330003203030101. The next prime is 330003203030113. The reversal of 330003203030112 is 211030302300033.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3300032030301122 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330003203030113) 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 15 ways as a sum of consecutive naturals, for example, 217095112 + ... + 218609912.

It is an arithmetic number, because the mean of its divisors is an integer number (9042868055340).

Almost surely, 2330003203030112 is an apocalyptic number.

330003203030112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

330003203030112 is an abundant number, since it is smaller than the sum of its proper divisors (538112130282528).

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

330003203030112 is a wasteful number, since it uses less digits than its factorization.

330003203030112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519676 (or 1519668 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 330003203030112 its reverse (211030302300033), we get a palindrome (541033505330145).

The spelling of 330003203030112 in words is "three hundred thirty trillion, three billion, two hundred three million, thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 523 1046 1569 2092 3138 4184 4339 6276 8368 8678 12552 13017 16736 17356 25104 26034 34712 50208 52068 69424 104136 138848 208272 416544 1514801 2269297 3029602 4538594 4544403 6059204 6807891 9077188 9088806 12118408 13615782 18154376 18177612 24236816 27231564 36308752 36355224 48473632 54463128 72617504 72710448 108926256 145420896 217852512 792240923 1584481846 2376722769 3168963692 4753445538 6337927384 6572721539 9506891076 12675854768 13145443078 19013782152 19718164617 25351709536 26290886156 38027564304 39436329234 52581772312 76055128608 78872658468 105163544624 157745316936 210327089248 315490633872 630981267744 3437533364897 6875066729794 10312600094691 13750133459588 20625200189382 27500266919176 41250400378764 55000533838352 82500800757528 110001067676704 165001601515056 330003203030112