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121141011131 = 743676006893
BaseRepresentation
bin111000011010010010…
…0010010001010111011
3102120200112011222111222
41300310210102022323
53441044044324011
6131352412142255
711515662414320
oct1606444221273
9376615158458
10121141011131
1147414a40728
121b589a6798b
13b5676c6b9a
145c12abcb47
15324023cddb
hex1c349122bb

121141011131 has 16 divisors (see below), whose sum is σ = 143781014784. Its totient is φ = 99906627744.

The previous prime is 121141011119. The next prime is 121141011149. The reversal of 121141011131 is 131110141121.

It is not a de Polignac number, because 121141011131 - 26 = 121141011067 is a prime.

It is a super-3 number, since 3×1211410111313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (121141011151) 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, 2983280 + ... + 3023613.

It is an arithmetic number, because the mean of its divisors is an integer number (8986313424).

Almost surely, 2121141011131 is an apocalyptic number.

121141011131 is a deficient number, since it is larger than the sum of its proper divisors (22640003653).

121141011131 is an equidigital number, since it uses as much as digits as its factorization.

121141011131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007010.

The product of its (nonzero) digits is 24, while the sum is 17.

Adding to 121141011131 its reverse (131110141121), we get a palindrome (252251152252).

The spelling of 121141011131 in words is "one hundred twenty-one billion, one hundred forty-one million, eleven thousand, one hundred thirty-one".

Divisors: 1 7 43 67 301 469 2881 20167 6006893 42048251 258296399 402461831 1808074793 2817232817 17305858733 121141011131