Search a number
-
+
13046102433 = 347134341161
BaseRepresentation
bin11000010011001101…
…11011100110100001
31020200012112200010000
430021212323212201
5203204300234213
65554315130213
7641203020030
oct141146734641
936605480100
1013046102433
115595203941
122641143969
1312cbac4050
148ba92a717
1551550bc73
hex3099bb9a1

13046102433 has 80 divisors (see below), whose sum is σ = 24544406656. Its totient is φ = 6721263360.

The previous prime is 13046102393. The next prime is 13046102441. The reversal of 13046102433 is 33420164031.

13046102433 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 610 + 2 + 43 + 3 = 666.

13046102433 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 13046102433 - 225 = 13012548001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13046102397 and 13046102406.

It is not an unprimeable number, because it can be changed into a prime (13046102453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 296373 + ... + 337533.

Almost surely, 213046102433 is an apocalyptic number.

13046102433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13046102433 is a deficient number, since it is larger than the sum of its proper divisors (11498304223).

13046102433 is a wasteful number, since it uses less digits than its factorization.

13046102433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41236 (or 41227 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13046102433 its reverse (33420164031), we get a palindrome (46466266464).

The spelling of 13046102433 in words is "thirteen billion, forty-six million, one hundred two thousand, four hundred thirty-three".

Divisors: 1 3 7 9 13 21 27 39 43 63 81 91 117 129 189 273 301 351 387 559 567 819 903 1053 1161 1677 2457 2709 3483 3913 5031 7371 8127 11739 15093 24381 35217 41161 45279 105651 123483 288127 316953 370449 535093 864381 1111347 1605279 1769923 2593143 3334041 3745651 4815837 5309769 7779429 11236953 12389461 14447511 15929307 23008999 23338287 33710859 37168383 43342533 47787921 69026997 101132577 111505149 143363763 161062993 207080991 303397731 334515447 483188979 621242973 1003546341 1449566937 1863728919 4348700811 13046102433