Search a number
-
+
13124405111433 = 3711257431512929
BaseRepresentation
bin1011111011111100001110…
…0000010010101010001001
31201110200101100122222122020
42332333003200102222021
53210012240202031213
643525133553515053
72523130664531310
oct276770340225211
951420340588566
1013124405111433
114200035595280
12157b720872a89
1374281a6a51a5
14335320417277
1517b5e1235923
hexbefc3812a89

13124405111433 has 64 divisors (see below), whose sum is σ = 21952944414720. Its totient is φ = 6775573708800.

The previous prime is 13124405111429. The next prime is 13124405111449. The reversal of 13124405111433 is 33411150442131.

It is a happy number.

13124405111433 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 13124405111433 - 22 = 13124405111429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 13124405111394 and 13124405111403.

It is not an unprimeable number, because it can be changed into a prime (13124405111483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25330713 + ... + 25843641.

It is an arithmetic number, because the mean of its divisors is an integer number (343014756480).

Almost surely, 213124405111433 is an apocalyptic number.

It is an amenable number.

13124405111433 is a deficient number, since it is larger than the sum of its proper divisors (8828539303287).

13124405111433 is a wasteful number, since it uses less digits than its factorization.

13124405111433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513638.

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 13124405111433 its reverse (33411150442131), we get a palindrome (46535555553564).

The spelling of 13124405111433 in words is "thirteen trillion, one hundred twenty-four billion, four hundred five million, one hundred eleven thousand, four hundred thirty-three".

Divisors: 1 3 7 11 21 33 77 231 257 431 771 1293 1799 2827 3017 4741 5397 8481 9051 14223 19789 33187 59367 99561 110767 332301 512929 775369 1218437 1538787 2326107 3590503 3655311 5642219 8529059 10771509 16926657 25587177 39495533 118486599 131822753 221072399 395468259 663217197 922759271 1450050283 1547506793 2431796389 2768277813 4350150849 4642520379 7295389167 10150351981 17022574723 30451055943 51067724169 56815606543 170446819629 397709245801 624971671973 1193127737403 1874915015919 4374801703811 13124405111433