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131054105540025 = 3252582462691289
BaseRepresentation
bin11101110011000101101001…
…011010000011010110111001
3122012000122112221112221000200
4131303011221122003112321
5114134142302004240100
61142421231441552413
736414226623024633
oct3563055132032671
9565018487487020
10131054105540025
1138837809005158
12128471b6945709
135818470045465
1424510a42bda53
151024040d25e00
hex7731696835b9

131054105540025 has 18 divisors (see below), whose sum is σ = 234732464589870. Its totient is φ = 69895522954560.

The previous prime is 131054105539999. The next prime is 131054105540069. The reversal of 131054105540025 is 520045501450131.

131054105540025 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 5 + 4 + 105 + 540 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36038458265616 + 95015647274409 = 6003204^2 + 9747597^2 .

It is not a de Polignac number, because 131054105540025 - 25 = 131054105539993 is a prime.

It is a super-2 number, since 2×1310541055400252 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291231345420 + ... + 291231345869.

It is an arithmetic number, because the mean of its divisors is an integer number (13040692477215).

Almost surely, 2131054105540025 is an apocalyptic number.

131054105540025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131054105540025 is a deficient number, since it is larger than the sum of its proper divisors (103678359049845).

131054105540025 is a wasteful number, since it uses less digits than its factorization.

131054105540025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582462691305 (or 582462691297 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 131054105540025 its reverse (520045501450131), we get a palindrome (651099606990156).

The spelling of 131054105540025 in words is "one hundred thirty-one trillion, fifty-four billion, one hundred five million, five hundred forty thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 582462691289 1747388073867 2912313456445 5242164221601 8736940369335 14561567282225 26210821108005 43684701846675 131054105540025