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331474474133 = 115373137139409
BaseRepresentation
bin1001101001011010110…
…10110001010010010101
31011200121000200222101022
410310231122301102111
520412324431133013
6412135520210525
732643150353525
oct4645532612225
91150530628338
10331474474133
111186397765a0
12542aa169a45
13253478195ba
1412087327685
15895098e008
hex4d2d6b1495

331474474133 has 64 divisors (see below), whose sum is σ = 379837382400. Its totient is φ = 286690959360.

The previous prime is 331474474087. The next prime is 331474474147.

331474474133 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 331474474133 - 28 = 331474473877 is a prime.

It is a super-2 number, since 2×3314744741332 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331474476133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 810450833 + ... + 810451241.

It is an arithmetic number, because the mean of its divisors is an integer number (5934959100).

Almost surely, 2331474474133 is an apocalyptic number.

It is an amenable number.

331474474133 is a deficient number, since it is larger than the sum of its proper divisors (48362908267).

331474474133 is a wasteful number, since it uses less digits than its factorization.

331474474133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822.

The product of its digits is 1016064, while the sum is 44.

It can be divided in two parts, 3314 and 74474133, that added together give a palindrome (74477447).

The spelling of 331474474133 in words is "three hundred thirty-one billion, four hundred seventy-four million, four hundred seventy-four thousand, one hundred thirty-three".

Divisors: 1 11 53 73 137 139 409 583 803 1507 1529 3869 4499 7261 7367 10001 10147 19043 21677 29857 42559 56033 56851 79871 81037 110011 111617 209473 238447 328427 530053 537791 616363 625361 1009279 1390139 1582421 2969749 3013103 4090409 4150123 5830583 5915701 7788587 11102069 15291529 17406631 32667239 33144133 44994499 45651353 73677367 85674457 216791677 219956519 412795111 568566851 810451037 2384708447 2419521709 4540746221 6254235361 30134043103 331474474133