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131212222000319 = 877230964796383
BaseRepresentation
bin11101110101011000111001…
…111000011110110010111111
3122012120202200100120100021202
4131311120321320132302333
5114144240112313002234
61143022021310250115
736431525115535505
oct3565307170366277
9565522610510252
10131212222000319
1138898877695029
12128719837b693b
13582a34acc2735
1424589c39b2675
1510281e725777e
hex775639e1ecbf

131212222000319 has 8 divisors (see below), whose sum is σ = 131418730101120. Its totient is φ = 131005843498656.

The previous prime is 131212222000243. The next prime is 131212222000333. The reversal of 131212222000319 is 913000222212131.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131212222000319 - 212 = 131212221996223 is a prime.

It is a super-4 number, since 4×1312122220003194 (a number of 58 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131212222000291 and 131212222000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212222800319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30373199 + ... + 34423184.

It is an arithmetic number, because the mean of its divisors is an integer number (16427341262640).

Almost surely, 2131212222000319 is an apocalyptic number.

131212222000319 is a deficient number, since it is larger than the sum of its proper divisors (206508100801).

131212222000319 is an equidigital number, since it uses as much as digits as its factorization.

131212222000319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64799569.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 131212222000319 in words is "one hundred thirty-one trillion, two hundred twelve billion, two hundred twenty-two million, three hundred nineteen", and thus it is an aban number.

Divisors: 1 877 2309 2024993 64796383 56826427891 149614848347 131212222000319