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313111331333190 = 2325139531021275039
BaseRepresentation
bin100011100110001011110100…
…1101011011110010001000110
31112001122011002000222211022100
41013030113221223132101012
5312020004001310130230
63025533205421412530
7122644355452123005
oct10714275153362106
91461564060884270
10313111331333190
1190848851818695
122b14b0a740a146
131059336c345b40
14574695279ac3c
15262eb26e1c660
hex11cc5e9ade446

313111331333190 has 192 divisors, whose sum is σ = 878494451627520. Its totient is φ = 76916995061760.

The previous prime is 313111331333173. The next prime is 313111331333191. The reversal of 313111331333190 is 91333133111313.

313111331333190 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 1 + 1 + 3 + 313 + 331 + 9 + 0 = 666.

It is a super-2 number, since 2×3131113313331902 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313111331333191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1138287691 + ... + 1138562729.

It is an arithmetic number, because the mean of its divisors is an integer number (4575491935560).

Almost surely, 2313111331333190 is an apocalyptic number.

313111331333190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 313111331333190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439247225813760).

313111331333190 is an abundant number, since it is smaller than the sum of its proper divisors (565383120294330).

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

313111331333190 is a wasteful number, since it uses less digits than its factorization.

313111331333190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277039 (or 277036 counting only the distinct ones).

The product of its (nonzero) digits is 19683, while the sum is 36.

The spelling of 313111331333190 in words is "three hundred thirteen trillion, one hundred eleven billion, three hundred thirty-one million, three hundred thirty-three thousand, one hundred ninety".