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330323131120034 = 21319269101314991637
BaseRepresentation
bin100101100011011010101100…
…0111001000011100110100010
31121022120120201221212000112202
41023012311120321003212202
5321244003233031320114
63130312203532453202
7126402026060315453
oct11306653071034642
91538516657760482
10330323131120034
11962842870136a8
123106aa0431a202
1311241450950330
145b7da20dc512a
15282c6e18a6cde
hex12c6d58e439a2

330323131120034 has 128 divisors (see below), whose sum is σ = 565049066400000. Its totient is φ = 143570155373568.

The previous prime is 330323131120033. The next prime is 330323131120051. The reversal of 330323131120034 is 430021131323033.

It is a super-2 number, since 2×3303231311200342 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330323131119979 and 330323131120006.

It is not an unprimeable number, because it can be changed into a prime (330323131120033) 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 63 ways as a sum of consecutive naturals, for example, 201785662664 + ... + 201785664300.

It is an arithmetic number, because the mean of its divisors is an integer number (4414445831250).

Almost surely, 2330323131120034 is an apocalyptic number.

330323131120034 is a deficient number, since it is larger than the sum of its proper divisors (234725935279966).

330323131120034 is a wasteful number, since it uses less digits than its factorization.

330323131120034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4452.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 330323131120034 its reverse (430021131323033), we get a palindrome (760344262443067).

The spelling of 330323131120034 in words is "three hundred thirty trillion, three hundred twenty-three billion, one hundred thirty-one million, one hundred twenty thousand, thirty-four".

Divisors: 1 2 13 19 26 38 247 269 494 538 1013 1499 1637 2026 2998 3274 3497 5111 6994 10222 13169 19247 19487 21281 26338 28481 31103 38494 38974 42562 56962 62206 66443 132886 250211 272497 370253 403231 404339 440353 500422 544994 740506 806462 808678 880706 1518487 1658281 2453863 3036974 3316562 3542461 4907726 5177443 5242003 5724589 7084922 7661389 8366707 10354886 10484006 11449178 15322778 16733414 19740331 21557653 28851253 31507339 31900219 39480662 43115306 46623397 57702506 63014678 63800438 67306759 93246794 99598057 108767191 134613518 199196114 217534382 375066289 408473003 409595407 446077589 606104161 660089147 750132578 816946006 819190814 892155178 1212208322 1320178294 2485763219 4971526438 5310149039 5799008657 7760987057 8475474191 8581158911 10620298078 11598017314 12541693793 15521974114 16950948382 17162317822 25083387586 32314921847 47229501161 64629843694 94459002322 100892831741 110181164483 163042019309 201785663482 220362328966 326084038618 613983515093 668670305911 1227967030186 1337340611822 8692713976843 12704735812309 17385427953686 25409471624618 165161565560017 330323131120034