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13121124405 = 3519253131349
BaseRepresentation
bin11000011100001010…
…00111100000110101
31020212102201011220120
430032011013200311
5203333001440110
610005555122153
7643103501004
oct141605074065
936772634816
1013121124405
115623594a74
1226622a3359
13131150064c
148c6898c3b
1551bdca870
hex30e147835

13121124405 has 96 divisors (see below), whose sum is σ = 22812451200. Its totient is φ = 6436385280.

The previous prime is 13121124403. The next prime is 13121124421. The reversal of 13121124405 is 50442112131.

It is not a de Polignac number, because 13121124405 - 21 = 13121124403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121124403) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37596171 + ... + 37596519.

It is an arithmetic number, because the mean of its divisors is an integer number (237629700).

Almost surely, 213121124405 is an apocalyptic number.

13121124405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13121124405 is a deficient number, since it is larger than the sum of its proper divisors (9691326795).

13121124405 is a wasteful number, since it uses less digits than its factorization.

13121124405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 13121124405 its reverse (50442112131), we get a palindrome (63563236536).

The spelling of 13121124405 in words is "thirteen billion, one hundred twenty-one million, one hundred twenty-four thousand, four hundred five".

Divisors: 1 3 5 15 19 53 57 95 131 159 265 285 349 361 393 655 795 1007 1047 1083 1745 1805 1965 2489 3021 5035 5235 5415 6631 6943 7467 12445 15105 18497 19133 19893 20829 33155 34715 37335 45719 47291 55491 57399 92485 95665 99465 104145 125989 131917 137157 141873 228595 236455 277455 286995 351443 377967 395751 629945 659585 685785 709365 868661 1054329 1757215 1889835 1978755 2423107 2506423 2605983 4343305 5271645 6677417 7269321 7519269 12115535 12532115 13029915 16504559 20032251 33387085 36346605 37596345 46039033 49513677 82522795 100161255 138117099 230195165 247568385 690585495 874741627 2624224881 4373708135 13121124405