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10131002133 = 374150923117
BaseRepresentation
bin10010110111101101…
…01101001100010101
3222011001021020021020
421123312231030111
5131222014032013
64353142311353
7506025045240
oct113366551425
928131236236
1010131002133
11432976093a
121b68a28559
13c55b97125
146c1704257
153e4638623
hex25bdad315

10131002133 has 32 divisors (see below), whose sum is σ = 15846001920. Its totient is φ = 5636605440.

The previous prime is 10131002131. The next prime is 10131002209. The reversal of 10131002133 is 33120013101.

It is not a de Polignac number, because 10131002133 - 21 = 10131002131 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131002131) 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, 426691 + ... + 449807.

It is an arithmetic number, because the mean of its divisors is an integer number (495187560).

Almost surely, 210131002133 is an apocalyptic number.

It is an amenable number.

10131002133 is a deficient number, since it is larger than the sum of its proper divisors (5714999787).

10131002133 is a wasteful number, since it uses less digits than its factorization.

10131002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23677.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10131002133 its reverse (33120013101), we get a palindrome (43251015234).

The spelling of 10131002133 in words is "ten billion, one hundred thirty-one million, two thousand, one hundred thirty-three".

Divisors: 1 3 7 21 41 123 287 509 861 1527 3563 10689 20869 23117 62607 69351 146083 161819 438249 485457 947797 2843391 6634579 11766553 19903737 35299659 82365871 247097613 482428673 1447286019 3377000711 10131002133