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10133331131 = 7115311092239
BaseRepresentation
bin10010110111111111…
…00101110010111011
3222011012122120001102
421123333211302323
5131223113044011
64353304242015
7506053615310
oct113377456273
928135576042
1010133331131
114330001730
121b6977030b
13c56501231
146c1b4cd07
153e494873b
hex25bfe5cbb

10133331131 has 32 divisors (see below), whose sum is σ = 12889497600. Its totient is φ = 7736676480.

The previous prime is 10133331127. The next prime is 10133331133. The reversal of 10133331131 is 13113333101.

It is a cyclic number.

It is not a de Polignac number, because 10133331131 - 22 = 10133331127 is a prime.

It is a super-2 number, since 2×101333311312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10133331133) 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, 4524710 + ... + 4526948.

It is an arithmetic number, because the mean of its divisors is an integer number (402796800).

Almost surely, 210133331131 is an apocalyptic number.

10133331131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10133331131 is a deficient number, since it is larger than the sum of its proper divisors (2756166469).

10133331131 is a wasteful number, since it uses less digits than its factorization.

10133331131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 10133331131 its reverse (13113333101), we get a palindrome (23246664232).

The spelling of 10133331131 in words is "ten billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred thirty-one".

Divisors: 1 7 11 53 77 371 583 1109 2239 4081 7763 12199 15673 24629 58777 85393 118667 172403 411439 646547 830669 1305337 2483051 4525829 9137359 17381357 27313561 131601703 191194927 921211921 1447618733 10133331131