Search a number
-
+
13423433101245 = 3355335946311287
BaseRepresentation
bin1100001101010110001011…
…1101100010111110111101
31202112021020010120210002000
43003111202331202332331
53224412142333214440
644314350125252513
72553545120520006
oct303254275427675
952467203523060
1013423433101245
114305934045972
121609674704139
13764a9401692b
143459aa4161ad
151842933e1730
hexc3562f62fbd

13423433101245 has 128 divisors (see below), whose sum is σ = 24436695859200. Its totient is φ = 6988772254464.

The previous prime is 13423433101241. The next prime is 13423433101291. The reversal of 13423433101245 is 54210133432431.

13423433101245 is a `hidden beast` number, since 1 + 3 + 42 + 343 + 31 + 0 + 1 + 245 = 666.

It is not a de Polignac number, because 13423433101245 - 22 = 13423433101241 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13423433101241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1189276992 + ... + 1189288278.

It is an arithmetic number, because the mean of its divisors is an integer number (190911686400).

Almost surely, 213423433101245 is an apocalyptic number.

13423433101245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13423433101245 is a deficient number, since it is larger than the sum of its proper divisors (11013262757955).

13423433101245 is a wasteful number, since it uses less digits than its factorization.

13423433101245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12176 (or 12170 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 13423433101245 its reverse (54210133432431), we get a palindrome (67633566533676).

The spelling of 13423433101245 in words is "thirteen trillion, four hundred twenty-three billion, four hundred thirty-three million, one hundred one thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 27 45 53 135 159 265 359 463 477 795 1077 1389 1431 1795 2315 2385 3231 4167 5385 6945 7155 9693 11287 12501 16155 19027 20835 24539 33861 48465 56435 57081 62505 73617 95135 101583 122695 166217 169305 171243 220851 285405 304749 368085 498651 507915 513729 598211 662553 831085 856215 1104255 1495953 1523745 1794633 2493255 2568645 2991055 3312765 4052033 4487859 5225881 5383899 7479765 8809501 8973165 12156099 15677643 16151697 20260165 22439295 26129405 26428503 26919495 36468297 44047505 47032929 60780495 78388215 79285509 80758485 109404891 132142515 141098787 182341485 214757749 235164645 237856527 276971693 396427545 547024455 644273247 705493935 830915079 1073788745 1189282635 1384858465 1876091279 1932819741 2492745237 3221366235 4154575395 5628273837 5798459223 7478235711 9380456395 9664098705 12463726185 16884821511 28141369185 28992296115 37391178555 50654464533 84424107555 99432837787 253272322665 298298513361 497164188935 894895540083 1491492566805 2684686620249 4474477700415 13423433101245