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330380213413224 = 233134216194063373
BaseRepresentation
bin100101100011110101010001…
…1010000101110010101101000
31121022210001002010020221222210
41023013222203100232111220
5321300422134113210344
63130354324052245120
7126406116450644352
oct11307524320562550
91538701063227883
10330380213413224
11962a6509528417
1231079a950107a0
1311246949a7a090
145b826b81740d2
15282de32dbddb9
hex12c7aa342e568

330380213413224 has 128 divisors (see below), whose sum is σ = 893038585622400. Its totient is φ = 101250128286720.

The previous prime is 330380213413207. The next prime is 330380213413241. The reversal of 330380213413224 is 422314312083033.

It is an interprime number because it is at equal distance from previous prime (330380213413207) and next prime (330380213413241).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 79275202 + ... + 83338574.

It is an arithmetic number, because the mean of its divisors is an integer number (6976863950175).

Almost surely, 2330380213413224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330380213413224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446519292811200).

330380213413224 is an abundant number, since it is smaller than the sum of its proper divisors (562658372209176).

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

330380213413224 is a wasteful number, since it uses less digits than its factorization.

330380213413224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064435 (or 4064431 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

Adding to 330380213413224 its reverse (422314312083033), we get a palindrome (752694525496257).

The spelling of 330380213413224 in words is "three hundred thirty trillion, three hundred eighty billion, two hundred thirteen million, four hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 421 619 842 1238 1263 1684 1857 2476 2526 3368 3714 4952 5052 5473 7428 8047 10104 10946 14856 16094 16419 21892 24141 32188 32838 43784 48282 64376 65676 96564 131352 193128 260599 521198 781797 1042396 1563594 2084792 3127188 3387787 4063373 6254376 6775574 8126746 10163361 12190119 13551148 16253492 20326722 24380238 27102296 32506984 40653444 48760476 52823849 81306888 97520952 105647698 158471547 211295396 316943094 422590792 633886188 1267772376 1710680033 2515227887 3421360066 5030455774 5132040099 6842720132 7545683661 10060911548 10264080198 13685440264 15091367322 20121823096 20528160396 22238840429 30182734644 32697962531 41056320792 44477680858 60365469288 65395925062 66716521287 88955361716 98093887593 130791850124 133433042574 177910723432 196187775186 261583700248 266866085148 392375550372 533732170296 784751100744 1058910940427 2117821880854 3176732821281 4235643761708 6353465642562 8471287523416 12706931285124 13765842225551 25413862570248 27531684451102 41297526676653 55063368902204 82595053353306 110126737804408 165190106706612 330380213413224