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103233211313323 = 7138372718800333
BaseRepresentation
bin10111011110001111011010…
…111000111010110010101011
3111112111222221222211000022211
4113132033122320322302223
5102012333104044011243
61003320403234025551
730513232132641610
oct2736173270726253
9445458858730284
10103233211313323
112a990a60558333
12b6b33557182b7
13457ab0875a1b0
141b6c72a926507
15be04ece96d9d
hex5de3dae3acab

103233211313323 has 32 divisors (see below), whose sum is σ = 128763938774016. Its totient is φ = 80583938252928.

The previous prime is 103233211313279. The next prime is 103233211313399. The reversal of 103233211313323 is 323313112332301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 103233211313323 - 29 = 103233211312811 is a prime.

It is a super-2 number, since 2×1032332113133232 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103233211313623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3909136 + ... + 14891197.

It is an arithmetic number, because the mean of its divisors is an integer number (4023873086688).

Almost surely, 2103233211313323 is an apocalyptic number.

103233211313323 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

103233211313323 is a deficient number, since it is larger than the sum of its proper divisors (25530727460693).

103233211313323 is a wasteful number, since it uses less digits than its factorization.

103233211313323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18801163.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 103233211313323 its reverse (323313112332301), we get a palindrome (426546323645624).

The spelling of 103233211313323 in words is "one hundred three trillion, two hundred thirty-three billion, two hundred eleven million, three hundred thirteen thousand, three hundred twenty-three".

Divisors: 1 7 13 83 91 581 727 1079 5089 7553 9451 60341 66157 422387 784433 5491031 18800333 131602331 244404329 1560427639 1710830303 10922993473 13667842091 20285559307 95674894637 141998915149 177681947183 1134430893553 1243773630281 7941016254871 14747601616189 103233211313323