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10313143133301 = 3231734719935227
BaseRepresentation
bin1001011000010011011100…
…1110111010010001110101
31100111221000200021122000100
42112010313032322101311
52322432304120231201
633533443105104313
72113046205144561
oct226046716722165
940457020248010
1010313143133301
113316863487958
1211a690a928099
1359a6a9bc2388
14279231a186a1
1512d4063c8886
hex961373ba475

10313143133301 has 48 divisors (see below), whose sum is σ = 14997209183424. Its totient is φ = 6829252515072.

The previous prime is 10313143133299. The next prime is 10313143133303. The reversal of 10313143133301 is 10333134131301.

10313143133301 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 3 + 14 + 313 + 330 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (10313143133299) and next prime (10313143133303).

It is not a de Polignac number, because 10313143133301 - 21 = 10313143133299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10313143133303) 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 47 ways as a sum of consecutive naturals, for example, 1973049450 + ... + 1973054676.

It is an arithmetic number, because the mean of its divisors is an integer number (312441857988).

Almost surely, 210313143133301 is an apocalyptic number.

It is an amenable number.

10313143133301 is a deficient number, since it is larger than the sum of its proper divisors (4684066050123).

10313143133301 is a wasteful number, since it uses less digits than its factorization.

10313143133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7890 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 10313143133301 its reverse (10333134131301), we get a palindrome (20646277264602).

The spelling of 10313143133301 in words is "ten trillion, three hundred thirteen billion, one hundred forty-three million, one hundred thirty-three thousand, three hundred one".

Divisors: 1 3 9 317 347 951 1041 1993 2853 3123 5227 5979 15681 17937 47043 109999 329997 631781 691571 989991 1656959 1813769 1895343 2074713 4970877 5441307 5686029 6224139 10417411 14912631 16323921 31252233 93756699 219228007 574964773 657684021 1724894319 1973052063 3302319287 3614841617 5174682957 9906957861 10844524851 29720873583 32533574553 1145904792589 3437714377767 10313143133301