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331310010132 = 223329105782251
BaseRepresentation
bin1001101001000111001…
…11011000111100010100
31011200011120020100012000
410310203213120330110
520412010330311012
6412111323155300
732636112422613
oct4644347307424
91150146210160
10331310010132
11118564955332
1254263075b30
132531c72501a
141206d55587a
158941303ddc
hex4d239d8f14

331310010132 has 48 divisors (see below), whose sum is σ = 888570916800. Its totient is φ = 106628508000.

The previous prime is 331310010113. The next prime is 331310010133. The reversal of 331310010132 is 231010013133.

It is a happy number.

331310010132 is a `hidden beast` number, since 331 + 310 + 0 + 10 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331310010133) 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 15 ways as a sum of consecutive naturals, for example, 52887994 + ... + 52894257.

It is an arithmetic number, because the mean of its divisors is an integer number (18511894100).

Almost surely, 2331310010132 is an apocalyptic number.

It is an amenable number.

331310010132 is an abundant number, since it is smaller than the sum of its proper divisors (557260906668).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331310010132 is a wasteful number, since it uses less digits than its factorization.

331310010132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105782293 (or 105782285 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331310010132 its reverse (231010013133), we get a palindrome (562320023265).

The spelling of 331310010132 in words is "three hundred thirty-one billion, three hundred ten million, ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1044 1566 3132 105782251 211564502 317346753 423129004 634693506 952040259 1269387012 1904080518 2856120777 3067685279 3808161036 5712241554 6135370558 9203055837 11424483108 12270741116 18406111674 27609167511 36812223348 55218335022 82827502533 110436670044 165655005066 331310010132