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12134133220013 = 73192964204141
BaseRepresentation
bin1011000010010011001010…
…1100110100001010101101
31120222000022121101200100222
42300210302230310022231
53042301201101020023
641450202134301125
72361443063405000
oct260446254641255
946860277350328
1012134133220013
113959069959342
12143b8147b77a5
136a032298b11c
142dd41bd99537
15160983a71cc8
hexb0932b342ad

12134133220013 has 32 divisors (see below), whose sum is σ = 15408994080000. Its totient is φ = 9513512648640.

The previous prime is 12134133220009. The next prime is 12134133220031. The reversal of 12134133220013 is 31002233143121.

It is a happy number.

It is not a de Polignac number, because 12134133220013 - 22 = 12134133220009 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12134133220003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31913078 + ... + 32291063.

It is an arithmetic number, because the mean of its divisors is an integer number (481531065000).

Almost surely, 212134133220013 is an apocalyptic number.

It is an amenable number.

12134133220013 is a deficient number, since it is larger than the sum of its proper divisors (3274860859987).

12134133220013 is an equidigital number, since it uses as much as digits as its factorization.

12134133220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64204210 (or 64204196 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 12134133220013 its reverse (31002233143121), we get a palindrome (43136366363134).

The spelling of 12134133220013 in words is "twelve trillion, one hundred thirty-four billion, one hundred thirty-three million, two hundred twenty thousand, thirteen".

Divisors: 1 7 19 29 49 133 203 343 551 931 1421 3857 6517 9947 26999 188993 64204141 449428987 1219878679 1861920089 3146002909 8539150753 13033440623 22022020363 35376481691 59774055271 91234084361 247635371837 418418386897 638638590527 1733447602859 12134133220013