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13131313200032 = 252771481420713
BaseRepresentation
bin1011111100010101111101…
…0000100011101110100000
31201111100012210110020200112
42333011133100203232200
53210120412134400112
643532235250110452
72523464116364306
oct277053720435640
951440183406615
1013131313200032
114202a5aa72505
121580b2a27b428
1374337b93a191
143357b7a8a276
1517b897946a22
hexbf15f423ba0

13131313200032 has 24 divisors (see below), whose sum is σ = 25945602384996. Its totient is φ = 6541953864192.

The previous prime is 13131313200017. The next prime is 13131313200037. The reversal of 13131313200032 is 23000231313131.

It can be written as a sum of positive squares in 2 ways, for example, as 12835338030736 + 295975169296 = 3582644^2 + 544036^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13131313199980 and 13131313200007.

It is not an unprimeable number, because it can be changed into a prime (13131313200037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 740701493 + ... + 740719220.

Almost surely, 213131313200032 is an apocalyptic number.

It is an amenable number.

13131313200032 is a deficient number, since it is larger than the sum of its proper divisors (12814289184964).

13131313200032 is a wasteful number, since it uses less digits than its factorization.

13131313200032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481421000 (or 1481420992 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13131313200032 its reverse (23000231313131), we get a palindrome (36131544513163).

The spelling of 13131313200032 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirteen million, two hundred thousand, thirty-two".

Divisors: 1 2 4 8 16 32 277 554 1108 2216 4432 8864 1481420713 2962841426 5925682852 11851365704 23702731408 47405462816 410353537501 820707075002 1641414150004 3282828300008 6565656600016 13131313200032