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332223023330001 = 321572232602140519
BaseRepresentation
bin100101110001001111011001…
…1010010101011001011010001
31121120022012200201020020010200
41023202132303102223023101
5322021120222433030001
63134325052220245413
7126656215136536416
oct11342366322531321
91546265621206120
10332223023330001
1196946aa16a7111
123131706a3a0869
131134b65c26478b
145c0797439610d
152861d3ae57086
hex12e27b34ab2d1

332223023330001 has 48 divisors (see below), whose sum is σ = 485130485898240. Its totient is φ = 219070608981120.

The previous prime is 332223023329987. The next prime is 332223023330027. The reversal of 332223023330001 is 100033320322233.

332223023330001 is a `hidden beast` number, since 3 + 3 + 2 + 22 + 302 + 3 + 330 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 332223023330001 - 214 = 332223023313617 is a prime.

It is a super-2 number, since 2×3322230233300012 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (332223023330041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8199170820 + ... + 8199211338.

It is an arithmetic number, because the mean of its divisors is an integer number (10106885122880).

Almost surely, 2332223023330001 is an apocalyptic number.

It is an amenable number.

332223023330001 is a deficient number, since it is larger than the sum of its proper divisors (152907462568239).

332223023330001 is a wasteful number, since it uses less digits than its factorization.

332223023330001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66926 (or 66923 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 332223023330001 its reverse (100033320322233), we get a palindrome (432256343652234).

The spelling of 332223023330001 in words is "three hundred thirty-two trillion, two hundred twenty-three billion, twenty-three million, three hundred thirty thousand, one".

Divisors: 1 3 9 157 223 471 669 1413 2007 26021 35011 40519 78063 105033 121557 234189 315099 364671 4085297 5802683 6361483 9035737 12255891 17408049 19084449 27107211 36767673 52224147 57253347 81321633 911021231 1054344899 1418610709 2733063693 3163034697 4255832127 8199191079 9489104091 12767496381 165532149143 235118912477 496596447429 705356737431 1489789342287 2116070212293 36913669258889 110741007776667 332223023330001