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104301200133 = 321331891033137
BaseRepresentation
bin110000100100011010…
…1100000001100000101
3100222012221002221121100
41201020311200030011
53202102101401013
6115525412410313
710351452400404
oct1411065401405
9328187087540
10104301200133
1140263343459
121826a316999
139ab295c290
1450963bb63b
152aa6b59473
hex1848d60305

104301200133 has 96 divisors (see below), whose sum is σ = 171060664320. Its totient is φ = 60801269760.

The previous prime is 104301200051. The next prime is 104301200141. The reversal of 104301200133 is 331002103401.

104301200133 is a `hidden beast` number, since 1 + 0 + 430 + 1 + 200 + 1 + 33 = 666.

It is not a de Polignac number, because 104301200133 - 29 = 104301199621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104301200153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33247141 + ... + 33250277.

It is an arithmetic number, because the mean of its divisors is an integer number (1781881920).

Almost surely, 2104301200133 is an apocalyptic number.

104301200133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104301200133 is a deficient number, since it is larger than the sum of its proper divisors (66759464187).

104301200133 is a wasteful number, since it uses less digits than its factorization.

104301200133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 104301200133 its reverse (331002103401), we get a palindrome (435303303534).

The spelling of 104301200133 in words is "one hundred four billion, three hundred one million, two hundred thousand, one hundred thirty-three".

Divisors: 1 3 9 13 31 39 89 93 103 117 267 279 309 403 801 927 1157 1209 1339 2759 3137 3193 3471 3627 4017 8277 9167 9411 9579 10413 12051 24831 27501 28233 28737 35867 40781 41509 82503 97247 107601 119171 122343 124527 279193 284177 291741 322803 323111 357513 367029 373581 837579 852531 875223 969333 1072539 1264211 2512737 2557593 2907999 3629509 3694301 3792633 4200443 8654983 10016441 10888527 11082903 11377899 12601329 25964949 28756879 30049323 32665581 33248709 37803987 77894847 86270637 90147969 112514779 130213733 258811911 337544337 373839427 390641199 891463249 1012633011 1121518281 1171923597 2674389747 3364554843 8023169241 11589022237 34767066711 104301200133