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313131200012103 = 31119934761075887
BaseRepresentation
bin100011100110010101000100…
…1111100011101111101000111
31112001201001100201102021220010
41013030222021330131331013
5312020320144200341403
63025550253140241303
7122645661021114414
oct10714521174357507
91461631321367803
10313131200012103
1190856218103190
122b152b113a0233
13105951b7761895
1457478b945b10b
1526303db398603
hex11cca89f1df47

313131200012103 has 16 divisors (see below), whose sum is σ = 455692095392256. Its totient is φ = 189681263298240.

The previous prime is 313131200012027. The next prime is 313131200012159. The reversal of 313131200012103 is 301210002131313.

It is a happy number.

It is not a de Polignac number, because 313131200012103 - 210 = 313131200011079 is a prime.

It is a super-2 number, since 2×3131312000121032 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313131200012103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313131200012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2380472175 + ... + 2380603712.

It is an arithmetic number, because the mean of its divisors is an integer number (28480755962016).

Almost surely, 2313131200012103 is an apocalyptic number.

313131200012103 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

313131200012103 is a deficient number, since it is larger than the sum of its proper divisors (142560895380153).

313131200012103 is a wasteful number, since it uses less digits than its factorization.

313131200012103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761077894.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 313131200012103 its reverse (301210002131313), we get a palindrome (614341202143416).

The spelling of 313131200012103 in words is "three hundred thirteen trillion, one hundred thirty-one billion, two hundred million, twelve thousand, one hundred three".

Divisors: 1 3 11 33 1993 5979 21923 65769 4761075887 14283227661 52371834757 157115504271 9488824242791 28466472728373 104377066670701 313131200012103