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10505322243 = 3313192368489
BaseRepresentation
bin10011100100010101…
…00111111100000011
31000010010121122221000
421302022213330003
5133003330302433
64454233303043
7521221523433
oct116212477403
930103548830
1010505322243
114500a870a9
122052264a83
13cb55b6c10
147193022c3
15417428113
hex2722a7f03

10505322243 has 64 divisors (see below), whose sum is σ = 18410112000. Its totient is φ = 5858189568.

The previous prime is 10505322221. The next prime is 10505322251. The reversal of 10505322243 is 34222350501.

It is a happy number.

10505322243 is a `hidden beast` number, since 105 + 0 + 532 + 2 + 24 + 3 = 666.

10505322243 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 10505322243 - 213 = 10505314051 is a prime.

It is a super-2 number, since 2×105053222432 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10505322203) 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 63 ways as a sum of consecutive naturals, for example, 119143 + ... + 187631.

It is an arithmetic number, because the mean of its divisors is an integer number (287658000).

Almost surely, 210505322243 is an apocalyptic number.

10505322243 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10505322243 is a deficient number, since it is larger than the sum of its proper divisors (7904789757).

10505322243 is a wasteful number, since it uses less digits than its factorization.

10505322243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68553 (or 68547 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 10505322243 its reverse (34222350501), we get a palindrome (44727672744).

The spelling of 10505322243 in words is "ten billion, five hundred five million, three hundred twenty-two thousand, two hundred forty-three".

Divisors: 1 3 9 13 19 23 27 39 57 69 117 171 207 247 299 351 437 513 621 741 897 1311 2223 2691 3933 5681 6669 8073 11799 17043 51129 68489 153387 205467 616401 890357 1301291 1575247 1849203 2671071 3903873 4725741 8013213 11711619 14177223 16916783 20478211 24039639 29929693 35134857 42531669 50750349 61434633 89789079 152251047 184303899 269367237 389086009 456753141 552911697 808101711 1167258027 3501774081 10505322243