Search a number
-
+
12424220033433 = 3134161757716811
BaseRepresentation
bin1011010011001011110100…
…1110001100000110011001
31121222202002020220122121120
42310302331032030012121
53112024300312032213
642231335145355453
72421422516546625
oct264627516140631
947882066818546
1012424220033433
113a6009a34585a
121487a92198b89
136c17a2aa6c50
1430d49a6d6185
151682b0cc0423
hexb4cbd38c199

12424220033433 has 64 divisors (see below), whose sum is σ = 18578172420864. Its totient is φ = 7335507456000.

The previous prime is 12424220033413. The next prime is 12424220033437. The reversal of 12424220033433 is 33433002242421.

12424220033433 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 12424220033433 - 218 = 12424219771289 is a prime.

It is a super-2 number, since 2×124242200334332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12424220033394 and 12424220033403.

It is not an unprimeable number, because it can be changed into a prime (12424220033437) 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, 739044598 + ... + 739061408.

It is an arithmetic number, because the mean of its divisors is an integer number (290283944076).

Almost surely, 212424220033433 is an apocalyptic number.

12424220033433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12424220033433 is a deficient number, since it is larger than the sum of its proper divisors (6153952387431).

12424220033433 is a wasteful number, since it uses less digits than its factorization.

12424220033433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24506.

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 12424220033433 its reverse (33433002242421), we get a palindrome (45857222275854).

The spelling of 12424220033433 in words is "twelve trillion, four hundred twenty-four billion, two hundred twenty million, thirty-three thousand, four hundred thirty-three".

Divisors: 1 3 13 39 41 61 123 183 533 793 1599 2379 2501 7503 7577 16811 22731 32513 50433 97539 98501 218543 295503 310657 462197 655629 689251 931971 1025471 1386591 2067753 3076413 4038541 6008561 8960263 12115623 13331123 18025683 18950077 26880789 39993369 42044311 56850231 126132933 127376947 246351001 382130841 546576043 739053003 1639728129 1655900311 4967700933 5222454827 7769993767 15667364481 23309981301 67891912751 101009918971 203675738253 303029756913 318569744447 955709233341 4141406677811 12424220033433