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330300030033001 = 72171657239299121
BaseRepresentation
bin100101100011001111111011…
…1111101011001110001101001
31121022111101010000002012121201
41023012133313331121301221
5321243113430142024001
63130253423344204201
7126400250441315500
oct11306376775316151
91538441100065551
10330300030033001
1196275502060036
1231066437909661
131123c20b959972
145b7c86cd01837
15282bcdd77a501
hex12c67f7f59c69

330300030033001 has 24 divisors (see below), whose sum is σ = 407073650827176. Its totient is φ = 266299718307840.

The previous prime is 330300030032989. The next prime is 330300030033059. The reversal of 330300030033001 is 100330030003033.

It can be written as a sum of positive squares in 4 ways, for example, as 10357944077376 + 319942085955625 = 3218376^2 + 17886925^2 .

It is a de Polignac number, because none of the positive numbers 2k-330300030033001 is a prime.

It is a super-2 number, since 2×3303000300330012 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 330300030033001.

It is not an unprimeable number, because it can be changed into a prime (330300030030001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118269280 + ... + 121029841.

It is an arithmetic number, because the mean of its divisors is an integer number (16961402117799).

Almost surely, 2330300030033001 is an apocalyptic number.

It is an amenable number.

330300030033001 is a deficient number, since it is larger than the sum of its proper divisors (76773620794175).

330300030033001 is a wasteful number, since it uses less digits than its factorization.

330300030033001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239300809 (or 239300802 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 19.

Adding to 330300030033001 its reverse (100330030003033), we get a palindrome (430630060036034).

The spelling of 330300030033001 in words is "three hundred thirty trillion, three hundred billion, thirty million, thirty-three thousand, one".

Divisors: 1 7 17 49 119 833 1657 11599 28169 81193 197183 1380281 239299121 1675093847 4068085057 11725656929 28476595399 199336167793 396518643497 2775630504479 6740816939449 19429413531353 47185718576143 330300030033001