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10113203331 = 3271126935419
BaseRepresentation
bin10010110101100101…
…10011110010000011
3222002210202221220100
421122302303302003
5131202440001311
64351305013443
7505420544550
oct113262636203
928083687810
1010113203331
11431a704390
121b62a84283
13c522a48aa
146bd1cda27
153e2cbea56
hex25acb3c83

10113203331 has 48 divisors (see below), whose sum is σ = 18222647040. Its totient is φ = 5250692160.

The previous prime is 10113203329. The next prime is 10113203341. The reversal of 10113203331 is 13330231101.

It is a happy number.

10113203331 is a `hidden beast` number, since 1 + 0 + 11 + 320 + 3 + 331 = 666.

10113203331 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 10113203331 - 21 = 10113203329 is a prime.

It is a super-2 number, since 2×101132033312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10113203341) 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 47 ways as a sum of consecutive naturals, for example, 1863540 + ... + 1868958.

It is an arithmetic number, because the mean of its divisors is an integer number (379638480).

Almost surely, 210113203331 is an apocalyptic number.

10113203331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10113203331 is a deficient number, since it is larger than the sum of its proper divisors (8109443709).

10113203331 is a wasteful number, since it uses less digits than its factorization.

10113203331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8133 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10113203331 its reverse (13330231101), we get a palindrome (23443434432).

It can be divided in two parts, 10113 and 203331, that added together give a square (213444 = 4622).

The spelling of 10113203331 in words is "ten billion, one hundred thirteen million, two hundred three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 2693 5419 8079 16257 18851 24237 29623 37933 48771 56553 59609 88869 113799 169659 178827 207361 266607 341397 417263 536481 622083 1251789 1866249 3755367 14593367 43780101 102153569 131340303 160527037 306460707 481581111 919382121 1123689259 1444743333 3371067777 10113203331