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102403201433 = 13292934332141
BaseRepresentation
bin101111101011110110…
…1001101100110011001
3100210022122200121212012
41133113231031212121
53134210204421213
6115013211555305
710253434564451
oct1372755154631
9323278617765
10102403201433
113a479a34995
1217a1a75bb35
13986c679620
144d562b4d61
1529e51e44a8
hex17d7b4d999

102403201433 has 32 divisors (see below), whose sum is σ = 114790465440. Its totient is φ = 90702581760.

The previous prime is 102403201429. The next prime is 102403201463. The reversal of 102403201433 is 334102304201.

It can be written as a sum of positive squares in 16 ways, for example, as 5680335424 + 96722866009 = 75368^2 + 311003^2 .

It is a cyclic number.

It is not a de Polignac number, because 102403201433 - 22 = 102403201429 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102403201399 and 102403201408.

It is not an unprimeable number, because it can be changed into a prime (102403201403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47828543 + ... + 47830683.

It is an arithmetic number, because the mean of its divisors is an integer number (3587202045).

Almost surely, 2102403201433 is an apocalyptic number.

102403201433 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

102403201433 is a deficient number, since it is larger than the sum of its proper divisors (12387264007).

102403201433 is a wasteful number, since it uses less digits than its factorization.

102403201433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2909.

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 102403201433 its reverse (334102304201), we get a palindrome (436505505634).

The spelling of 102403201433 in words is "one hundred two billion, four hundred three million, two hundred one thousand, four hundred thirty-three".

Divisors: 1 13 29 293 377 433 2141 3809 5629 8497 12557 27833 62089 110461 126869 163241 627313 807157 927053 1649297 3679201 8155069 12051689 18192077 26884537 47829613 236497001 271626529 349498981 3531144877 7877169341 102403201433