Search a number
-
+
10403121414301 = 711982913745597
BaseRepresentation
bin1001011101100010101001…
…0110110100000010011101
31100211112021102021220021021
42113120222112310002131
52330421043040224201
634043043352004141
72122413022002460
oct227305226640235
940745242256237
1010403121414301
113350a36914160
121200240390651
135a601937b975
1427d729aa12d7
151309208b4ea1
hex9762a5b409d

10403121414301 has 16 divisors (see below), whose sum is σ = 12971445920640. Its totient is φ = 8105503049280.

The previous prime is 10403121414289. The next prime is 10403121414319. The reversal of 10403121414301 is 10341412130401.

It is not a de Polignac number, because 10403121414301 - 27 = 10403121414173 is a prime.

It is a super-3 number, since 3×104031214143013 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403121414341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6115966 + ... + 7629631.

It is an arithmetic number, because the mean of its divisors is an integer number (810715370040).

Almost surely, 210403121414301 is an apocalyptic number.

10403121414301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10403121414301 is a deficient number, since it is larger than the sum of its proper divisors (2568324506339).

10403121414301 is a wasteful number, since it uses less digits than its factorization.

10403121414301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13755444.

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 10403121414301 its reverse (10341412130401), we get a palindrome (20744533544702).

The spelling of 10403121414301 in words is "ten trillion, four hundred three billion, one hundred twenty-one million, four hundred fourteen thousand, three hundred one".

Divisors: 1 7 11 77 9829 68803 108119 756833 13745597 96219179 151201567 1058410969 135105472913 945738310391 1486160202043 10403121414301