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2131130110133 = 291481208923753
BaseRepresentation
bin11111000000110001010…
…000001101000010110101
321112201211010021122020202
4133000301100031002311
5234404023302011013
64311005550210245
7306653251023113
oct37006120150265
97481733248222
102131130110133
11751897430432
122a503b1b3985
13125c705cca0b
147520c094ab3
153a680173858
hex1f03140d0b5

2131130110133 has 16 divisors (see below), whose sum is σ = 2207254935600. Its totient is φ = 2055182653440.

The previous prime is 2131130110091. The next prime is 2131130110159. The reversal of 2131130110133 is 3310110311312.

It can be written as a sum of positive squares in 8 ways, for example, as 189519174244 + 1941610935889 = 435338^2 + 1393417^2 .

It is not a de Polignac number, because 2131130110133 - 216 = 2131130044597 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131130100133) 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 15 ways as a sum of consecutive naturals, for example, 89708585 + ... + 89732337.

It is an arithmetic number, because the mean of its divisors is an integer number (137953433475).

Almost surely, 22131130110133 is an apocalyptic number.

It is an amenable number.

2131130110133 is a deficient number, since it is larger than the sum of its proper divisors (76124825467).

2131130110133 is a wasteful number, since it uses less digits than its factorization.

2131130110133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27352.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 2131130110133 its reverse (3310110311312), we get a palindrome (5441240421445).

The spelling of 2131130110133 in words is "two trillion, one hundred thirty-one billion, one hundred thirty million, one hundred ten thousand, one hundred thirty-three".

Divisors: 1 29 1481 2089 23753 42949 60581 688837 3093809 35178193 49620017 89720461 1020167597 1438980493 73487245177 2131130110133