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1315305103321 = 111491674919787
BaseRepresentation
bin10011001000111110010…
…010110001111111011001
311122202000212121020222201
4103020332102301333121
5133022221101301241
62444124241050201
7164012325624016
oct23107622617731
94582025536881
101315305103321
114678aa493910
12192ab9026961
1397056c0a0b1
144793811070d
1524332905931
hex1323e4b1fd9

1315305103321 has 32 divisors (see below), whose sum is σ = 1456266470400. Its totient is φ = 1178069995200.

The previous prime is 1315305103297. The next prime is 1315305103331. The reversal of 1315305103321 is 1233015035131.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1315305103321 - 211 = 1315305101273 is a prime.

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 1315305103321.

It is not an unprimeable number, because it can be changed into a prime (1315305103331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134388190 + ... + 134397976.

It is an arithmetic number, because the mean of its divisors is an integer number (45508327200).

Almost surely, 21315305103321 is an apocalyptic number.

1315305103321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1315305103321 is a deficient number, since it is larger than the sum of its proper divisors (140961367079).

1315305103321 is a wasteful number, since it uses less digits than its factorization.

1315305103321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10605.

The product of its (nonzero) digits is 4050, while the sum is 28.

The spelling of 1315305103321 in words is "one trillion, three hundred fifteen billion, three hundred five million, one hundred three thousand, three hundred twenty-one".

Divisors: 1 11 149 167 491 1639 1837 5401 9787 24883 73159 81997 107657 273713 804749 901967 1458263 1634429 4805417 12217553 16040893 17978719 52859587 134393083 243529921 716007133 802504639 2678829131 7876078463 8827551029 119573191211 1315305103321