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131113130144 = 2537857312917
BaseRepresentation
bin111101000011011110…
…0111001100010100000
3110112102111111010010012
41322012330321202200
54122004430131034
6140122121224052
712321051134513
oct1720674714240
9415374433105
10131113130144
1150671a422a7
12214b1632028
13c4966a1a19
1464bb264d7a
15362593ecce
hex1e86f398a0

131113130144 has 48 divisors (see below), whose sum is σ = 265156883208. Its totient is φ = 63772388352.

The previous prime is 131113130119. The next prime is 131113130147. The reversal of 131113130144 is 441031311131.

It can be written as a sum of positive squares in 4 ways, for example, as 124194217744 + 6918912400 = 352412^2 + 83180^2 .

It is not an unprimeable number, because it can be changed into a prime (131113130147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10143974 + ... + 10156890.

Almost surely, 2131113130144 is an apocalyptic number.

It is an amenable number.

131113130144 is an abundant number, since it is smaller than the sum of its proper divisors (134043753064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131113130144 is a wasteful number, since it uses less digits than its factorization.

131113130144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21537 (or 21529 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 131113130144 its reverse (441031311131), we get a palindrome (572144441275).

The spelling of 131113130144 in words is "one hundred thirty-one billion, one hundred thirteen million, one hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 8573 12917 17146 25834 34292 51668 68584 103336 137168 206672 274336 317201 413344 477929 634402 955858 1268804 1911716 2537608 3823432 5075216 7646864 10150432 15293728 110737441 221474882 442949764 885899528 1771799056 3543598112 4097285317 8194570634 16389141268 32778282536 65556565072 131113130144