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10243054341 = 36132711171
BaseRepresentation
bin10011000101000100…
…01001101100000101
3222102212010002000000
421202202021230011
5131434210214331
64412224111513
7511555345122
oct114242115405
928385102000
1010243054341
114386a34373
121b9a465599
13c7316a600
146d2551749
153ee3be0e6
hex262889b05

10243054341 has 84 divisors (see below), whose sum is σ = 16878403296. Its totient is φ = 6209330400.

The previous prime is 10243054277. The next prime is 10243054351. The reversal of 10243054341 is 14345034201.

It is a happy number.

10243054341 is a `hidden beast` number, since 10 + 2 + 4 + 305 + 4 + 341 = 666.

It is not a de Polignac number, because 10243054341 - 26 = 10243054277 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243054351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8746686 + ... + 8747856.

Almost surely, 210243054341 is an apocalyptic number.

It is an amenable number.

10243054341 is a deficient number, since it is larger than the sum of its proper divisors (6635348955).

10243054341 is an equidigital number, since it uses as much as digits as its factorization.

10243054341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 10243054341 its reverse (14345034201), we get a palindrome (24588088542).

The spelling of 10243054341 in words is "ten billion, two hundred forty-three million, fifty-four thousand, three hundred forty-one".

Divisors: 1 3 9 13 27 39 71 81 117 169 213 243 351 507 639 729 923 1053 1171 1521 1917 2769 3159 3513 4563 5751 8307 9477 10539 11999 13689 15223 17253 24921 31617 35997 41067 45669 51759 74763 83141 94851 107991 123201 137007 197899 224289 249423 284553 323973 411021 593697 672867 748269 853659 971919 1080833 1233063 1781091 2244807 2915757 3242499 3699189 5343273 6734421 8747271 9727497 11097567 14050829 16029819 20203263 29182491 42152487 48089457 60609789 87547473 126457461 144268371 262642419 379372383 787927257 1138117149 3414351447 10243054341