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10320213345 = 351337267577
BaseRepresentation
bin10011001110010000…
…11111010101100001
3222122020022011020220
421213020133111201
5132113433311340
64424021553253
7513513236361
oct114710372541
928566264226
1010320213345
114416545042
122000275829
13c86144820
146dc8b89a1
15406060ed0
hex26721f561

10320213345 has 96 divisors (see below), whose sum is σ = 18581044608. Its totient is φ = 4861181952.

The previous prime is 10320213331. The next prime is 10320213347. The reversal of 10320213345 is 54331202301.

10320213345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10320213345 - 28 = 10320213089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10320213347) 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 95 ways as a sum of consecutive naturals, for example, 17885697 + ... + 17886273.

It is an arithmetic number, because the mean of its divisors is an integer number (193552548).

Almost surely, 210320213345 is an apocalyptic number.

10320213345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10320213345 is a deficient number, since it is larger than the sum of its proper divisors (8260831263).

10320213345 is a wasteful number, since it uses less digits than its factorization.

10320213345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 10320213345 its reverse (54331202301), we get a palindrome (64651415646).

The spelling of 10320213345 in words is "ten billion, three hundred twenty million, two hundred thirteen thousand, three hundred forty-five".

Divisors: 1 3 5 13 15 37 39 65 67 111 185 195 201 335 481 555 577 871 1005 1369 1443 1731 2405 2479 2613 2885 4107 4355 6845 7215 7437 7501 8655 12395 13065 17797 20535 21349 22503 32227 37185 37505 38659 53391 64047 88985 91723 96681 106745 112515 115977 161135 193295 266955 275169 277537 320235 458615 483405 502567 579885 789913 832611 1192399 1375845 1387685 1430383 1507701 2369739 2512835 3577197 3949565 4163055 4291149 5961995 7151915 7538505 10268869 11848695 17885985 18594979 21455745 30806607 51344345 52924171 55784937 92974895 154033035 158772513 264620855 278924685 688014223 793862565 2064042669 3440071115 10320213345