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10113133303 = 7134714271657
BaseRepresentation
bin10010110101100101…
…00010101011110111
3222002210122101211201
421122302202223313
5131202430231203
64351303313331
7505420133440
oct113262425367
928083571751
1010113133303
11431a666809
121b62a4b847
13c5227ba60
146bd1b22c7
153e2ca8e1d
hex25aca2af7

10113133303 has 32 divisors (see below), whose sum is σ = 12728346624. Its totient is φ = 7821142272.

The previous prime is 10113133297. The next prime is 10113133319. The reversal of 10113133303 is 30333131101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10113133303 - 25 = 10113133271 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113133403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6102451 + ... + 6104107.

It is an arithmetic number, because the mean of its divisors is an integer number (397760832).

Almost surely, 210113133303 is an apocalyptic number.

10113133303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10113133303 is a deficient number, since it is larger than the sum of its proper divisors (2615213321).

10113133303 is a wasteful number, since it uses less digits than its factorization.

10113133303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 10113133303 its reverse (30333131101), we get a palindrome (40446264404).

The spelling of 10113133303 in words is "ten billion, one hundred thirteen million, one hundred thirty-three thousand, three hundred three".

Divisors: 1 7 13 47 91 329 611 1427 1657 4277 9989 11599 18551 21541 67069 77879 129857 150787 469483 545153 871897 1012427 2364539 6103279 7086989 16551773 30739007 111133333 215173049 777933331 1444733329 10113133303