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131295234560 = 29577326743
BaseRepresentation
bin111101001000111001…
…1100100101000000000
3110112220012010222102012
41322101303210220000
54122343040001220
6140152144312052
712325422036260
oct1722163445000
9415805128365
10131295234560
1150755812016
1221542612628
13c4c5331709
1464d75097a0
153636911ac5
hex1e91ce4a00

131295234560 has 80 divisors (see below), whose sum is σ = 359772437376. Its totient is φ = 45015502848.

The previous prime is 131295234529. The next prime is 131295234593. The reversal of 131295234560 is 65432592131.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3645452 + ... + 3681291.

Almost surely, 2131295234560 is an apocalyptic number.

131295234560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131295234560 is an abundant number, since it is smaller than the sum of its proper divisors (228477202816).

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

131295234560 is an frugal number, since it uses more digits than its factorization.

131295234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7326773 (or 7326757 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 131295234560 in words is "one hundred thirty-one billion, two hundred ninety-five million, two hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 7326743 14653486 29306972 36633715 51287201 58613944 73267430 102574402 117227888 146534860 205148804 234455776 256436005 293069720 410297608 468911552 512872010 586139440 820595216 937823104 1025744020 1172278880 1641190432 1875646208 2051488040 2344557760 3282380864 3751292416 4102976080 4689115520 6564761728 8205952160 9378231040 13129523456 16411904320 18756462080 26259046912 32823808640 65647617280 131295234560