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131010134101441 = 7318235437134923
BaseRepresentation
bin11101110010011100101100…
…100000010100110111000001
3122011212110001111112101222021
4131302130230200110313001
5114132432223312221231
61142345120313241441
736411112152664660
oct3562345440246701
9564773044471867
10131010134101441
11388200a4300571
121283a784a03281
13581428326174a
14244ccd24b4dd7
151022d1a85b811
hex77272c814dc1

131010134101441 has 32 divisors (see below), whose sum is σ = 154773138096128. Its totient is φ = 108519189376320.

The previous prime is 131010134101433. The next prime is 131010134101453. The reversal of 131010134101441 is 144101431010131.

It is a cyclic number.

It is not a de Polignac number, because 131010134101441 - 23 = 131010134101433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131010134105441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970931806 + ... + 971066728.

It is an arithmetic number, because the mean of its divisors is an integer number (4836660565504).

Almost surely, 2131010134101441 is an apocalyptic number.

It is an amenable number.

131010134101441 is a deficient number, since it is larger than the sum of its proper divisors (23763003994687).

131010134101441 is a wasteful number, since it uses less digits than its factorization.

131010134101441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141221.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 131010134101441 its reverse (144101431010131), we get a palindrome (275111565111572).

The spelling of 131010134101441 in words is "one hundred thirty-one trillion, ten billion, one hundred thirty-four million, one hundred one thousand, four hundred forty-one".

Divisors: 1 7 31 217 823 5437 5761 25513 38059 134923 168547 178591 944461 1179829 4182613 4474651 29278291 31322557 111041629 138714181 733576351 777291403 970999267 3442290499 5135034457 22740866881 24096033493 159186068167 603733336873 4226133358111 18715733443063 131010134101441