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131260302448 = 2411354111393
BaseRepresentation
bin111101000111110111…
…0010100010001110000
3110112210202102020120021
41322033232110101300
54122310114134243
6140144455453224
712324516106342
oct1721756242160
9415722366507
10131260302448
1150738023000
1221532987214
13c4bb020822
1464d2a15292
1536338116ed
hex1e8fb94470

131260302448 has 80 divisors (see below), whose sum is σ = 280271070432. Its totient is φ = 59548262400.

The previous prime is 131260302391. The next prime is 131260302469. The reversal of 131260302448 is 844203062131.

131260302448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11515440 + ... + 11526832.

Almost surely, 2131260302448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131260302448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140135535216).

131260302448 is an abundant number, since it is smaller than the sum of its proper divisors (149010767984).

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

131260302448 is a wasteful number, since it uses less digits than its factorization.

131260302448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11975 (or 11947 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 131260302448 its reverse (844203062131), we get a palindrome (975463364579).

The spelling of 131260302448 in words is "one hundred thirty-one billion, two hundred sixty million, three hundred two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 541 968 1082 1331 1936 2164 2662 4328 5324 5951 8656 10648 11393 11902 21296 22786 23804 45572 47608 65461 91144 95216 125323 130922 182288 250646 261844 501292 523688 720071 1002584 1047376 1378553 1440142 2005168 2757106 2880284 5514212 5760568 6163613 11028424 11521136 12327226 15164083 22056848 24654452 30328166 49308904 60656332 67799743 98617808 121312664 135599486 242625328 271198972 542397944 745797173 1084795888 1491594346 2983188692 5966377384 8203768903 11932754768 16407537806 32815075612 65630151224 131260302448