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131043445251541 = 1741285765807029
BaseRepresentation
bin11101110010111011101110…
…000000010001110111010101
3122011222122001000100011101021
4131302323232000101313111
5114134003433441022131
61142412305551001141
736413401510045444
oct3562735600216725
9564878030304337
10131043445251541
1138833238604689
12128451208091b1
135817461611054
14245077259cd5b
151023b19edbe11
hex772eee011dd5

131043445251541 has 16 divisors (see below), whose sum is σ = 142185827755440. Its totient is φ = 120284718059520.

The previous prime is 131043445251461. The next prime is 131043445251547. The reversal of 131043445251541 is 145152544340131.

It can be written as a sum of positive squares in 8 ways, for example, as 6400287754641 + 124643157496900 = 2529879^2 + 11164370^2 .

It is not a de Polignac number, because 131043445251541 - 231 = 131041297767893 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 (131043445251547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30912186 + ... + 34894843.

It is an arithmetic number, because the mean of its divisors is an integer number (8886614234715).

Almost surely, 2131043445251541 is an apocalyptic number.

It is an amenable number.

131043445251541 is a deficient number, since it is larger than the sum of its proper divisors (11142382503899).

131043445251541 is a wasteful number, since it uses less digits than its factorization.

131043445251541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65809944.

The product of its (nonzero) digits is 576000, while the sum is 43.

Adding to 131043445251541 its reverse (145152544340131), we get a palindrome (276195989591672).

The spelling of 131043445251541 in words is "one hundred thirty-one trillion, forty-three billion, four hundred forty-five million, two hundred fifty-one thousand, five hundred forty-one".

Divisors: 1 17 41 697 2857 48569 117137 1991329 65807029 1118719493 2698088189 45867499213 188010681853 3196181591501 7708437955973 131043445251541