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313300122322231 = 11101499995640079
BaseRepresentation
bin100011100111100011101111…
…0011111111100010100110111
31112002022012101012112202102201
41013033013132133330110313
5312031102122303302411
63030200031135445331
7122664121045056532
oct10717073637742467
91462265335482381
10313300122322231
1190910921373a70
122b17b7b5086847
13105a80c8349a45
145751b41d21a19
1526349c62b83c1
hex11cf1de7fc537

313300122322231 has 16 divisors (see below), whose sum is σ = 345172896000000. Its totient is φ = 281992619844000.

The previous prime is 313300122322073. The next prime is 313300122322321. The reversal of 313300122322231 is 132223221003313.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313300122322231 is a prime.

It is a super-2 number, since 2×3133001223222312 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 313300122322231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313300122322631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52728850 + ... + 58368928.

It is an arithmetic number, because the mean of its divisors is an integer number (21573306000000).

Almost surely, 2313300122322231 is an apocalyptic number.

313300122322231 is a deficient number, since it is larger than the sum of its proper divisors (31872773677769).

313300122322231 is a wasteful number, since it uses less digits than its factorization.

313300122322231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690190.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 313300122322231 its reverse (132223221003313), we get a palindrome (445523343325544).

The spelling of 313300122322231 in words is "three hundred thirteen trillion, three hundred billion, one hundred twenty-two million, three hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 11 101 1111 49999 549989 5049899 5640079 55548889 62040869 569647979 6266127769 281998309921 3101981409131 28481829302021 313300122322231