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131021003441043 = 3259823299810311
BaseRepresentation
bin11101110010100110110100…
…010111100100001110010011
3122011220111010000010001211200
4131302212310113210032103
5114133122003340103133
61142354115033042243
736411645414566502
oct3562466427441623
9564814100101750
10131021003441043
1138824771806261
12128408b8b56383
1358152c609bb41
14244d643c92839
151023254bdb913
hex7729b45e4393

131021003441043 has 24 divisors (see below), whose sum is σ = 192694083728640. Its totient is φ = 85762538037360.

The previous prime is 131021003441021. The next prime is 131021003441051. The reversal of 131021003441043 is 340144300120131.

131021003441043 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 210 + 0 + 3 + 441 + 0 + 4 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-131021003441043 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131021003440998 and 131021003441016.

It is not an unprimeable number, because it can be changed into a prime (131021003441063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149468143 + ... + 150342168.

It is an arithmetic number, because the mean of its divisors is an integer number (8028920155360).

Almost surely, 2131021003441043 is an apocalyptic number.

131021003441043 is a deficient number, since it is larger than the sum of its proper divisors (61673080287597).

131021003441043 is a wasteful number, since it uses less digits than its factorization.

131021003441043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299811199 (or 299811196 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 131021003441043 its reverse (340144300120131), we get a palindrome (471165303561174).

The spelling of 131021003441043 in words is "one hundred thirty-one trillion, twenty-one billion, three million, four hundred forty-one thousand, forty-three".

Divisors: 1 3 9 59 177 531 823 2469 7407 48557 145671 437013 299810311 899430933 2698292799 17688808349 53066425047 159199275141 246743885953 740231657859 2220694973577 14557889271227 43673667813681 131021003441043