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1313210122319 = 31101461909809
BaseRepresentation
bin10011000111000001011…
…011000100000001001111
311122112121212112012022202
4103013001123010001033
5133003423242403234
62443140322232115
7163606366602464
oct23070133040117
94575555465282
101313210122319
11466a24973657
121926134b563b
1396ab1b88874
14477b9bad66b
152425da3077e
hex131c16c404f

1313210122319 has 16 divisors (see below), whose sum is σ = 1371964366080. Its totient is φ = 1255535040000.

The previous prime is 1313210122307. The next prime is 1313210122321. The reversal of 1313210122319 is 9132210123131.

It is not a de Polignac number, because 1313210122319 - 212 = 1313210118223 is a prime.

It is a super-2 number, since 2×13132101223192 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1313210122291 and 1313210122300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313210122619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 988487 + ... + 1898295.

It is an arithmetic number, because the mean of its divisors is an integer number (85747772880).

Almost surely, 21313210122319 is an apocalyptic number.

1313210122319 is a deficient number, since it is larger than the sum of its proper divisors (58754243761).

1313210122319 is a wasteful number, since it uses less digits than its factorization.

1313210122319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910402.

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 1313210122319 in words is "one trillion, three hundred thirteen billion, two hundred ten million, one hundred twenty-two thousand, three hundred nineteen".

Divisors: 1 31 101 461 3131 14291 46561 909809 1443391 28204079 91890709 419421949 2848611979 13002080419 42361616849 1313210122319