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330230122400441 = 17131271547176173
BaseRepresentation
bin100101100010101111011000…
…1001000111100101010111001
31121022020200200000112112001102
41023011132301020330222321
5321240442242313303231
63130201342433101145
7126362224165251614
oct11305366110745271
91538220600475042
10330230122400441
1196248899016a9a
12310549879b77b5
131123574a6b2a03
145b7931a69117b
15282a09b312acb
hex12c57b123cab9

330230122400441 has 16 divisors (see below), whose sum is σ = 353624640323328. Its totient is φ = 307294138195200.

The previous prime is 330230122400413. The next prime is 330230122400449. The reversal of 330230122400441 is 144004221032033.

It is a cyclic number.

It is not a de Polignac number, because 330230122400441 - 222 = 330230118206137 is a prime.

It is a super-2 number, since 2×3302301224004412 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (330230122400449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272984570 + ... + 274191603.

It is an arithmetic number, because the mean of its divisors is an integer number (22101540020208).

Almost surely, 2330230122400441 is an apocalyptic number.

It is an amenable number.

330230122400441 is a deficient number, since it is larger than the sum of its proper divisors (23394517922887).

330230122400441 is a wasteful number, since it uses less digits than its factorization.

330230122400441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547176592.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 330230122400441 its reverse (144004221032033), we get a palindrome (474234343432474).

The spelling of 330230122400441 in words is "three hundred thirty trillion, two hundred thirty billion, one hundred twenty-two million, four hundred thousand, four hundred forty-one".

Divisors: 1 17 131 271 2227 4607 35501 603517 547176173 9301994941 71680078663 148284742883 1218561337271 2520840629011 19425301317673 330230122400441