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12433011333413 = 11311012714912713
BaseRepresentation
bin1011010011101100100100…
…1110010101100100100101
31122000120202221021222000112
42310323021032111210211
53112200301400132123
642235351353422405
72422153416430046
oct264731116254445
948016687258015
1012433011333413
113a638a0851630
12148972640aa05
136c2574244cb8
1430da921028cd
151686279c4d78
hexb4ec9395925

12433011333413 has 64 divisors (see below), whose sum is σ = 14225752424448. Its totient is φ = 10763928000000.

The previous prime is 12433011333401. The next prime is 12433011333461. The reversal of 12433011333413 is 31433311033421.

It is a happy number.

12433011333413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12433011333413 - 24 = 12433011333397 is a prime.

It is a super-2 number, since 2×124330113334132 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12433011333413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12433011533413) 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, 4582752545 + ... + 4582755257.

It is an arithmetic number, because the mean of its divisors is an integer number (222277381632).

Almost surely, 212433011333413 is an apocalyptic number.

It is an amenable number.

12433011333413 is a deficient number, since it is larger than the sum of its proper divisors (1792741091035).

12433011333413 is a wasteful number, since it uses less digits than its factorization.

12433011333413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3618.

The product of its (nonzero) digits is 23328, while the sum is 32.

Adding to 12433011333413 its reverse (31433311033421), we get a palindrome (43866322366834).

The spelling of 12433011333413 in words is "twelve trillion, four hundred thirty-three billion, eleven million, three hundred thirty-three thousand, four hundred thirteen".

Divisors: 1 11 31 101 271 341 491 1111 2713 2981 3131 5401 8401 15221 27371 29843 34441 49591 84103 92411 133061 167431 274013 301081 545501 735223 848501 925133 1332083 1463671 1537321 3014143 4124891 8087453 8494403 9333511 13439161 14652913 16910531 22791913 41294573 45373801 74257523 93438433 134540383 147830771 250711043 360994493 416613991 454240303 816832753 1479944213 2301983213 3970939423 4170751873 4582753901 11190829283 25321815343 36460443793 45878270603 123099122113 401064881723 1130273757583 12433011333413