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131111516320 = 2556113433557
BaseRepresentation
bin111101000011011011…
…0101111100010100000
3110112102101110010100221
41322012312233202200
54122004022010240
6140122022452424
712321031333501
oct1720666574240
9415371403327
10131111516320
115067103a864
12214b0b94114
13c4962582b5
1464bad64ba8
153625721a4a
hex1e86daf8a0

131111516320 has 48 divisors (see below), whose sum is σ = 314828865288. Its totient is φ = 51584855040.

The previous prime is 131111516317. The next prime is 131111516321. The reversal of 131111516320 is 23615111131.

It can be written as a sum of positive squares in 4 ways, for example, as 42966656656 + 88144859664 = 207284^2 + 296892^2 .

It is not an unprimeable number, because it can be changed into a prime (131111516321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6707019 + ... + 6726538.

Almost surely, 2131111516320 is an apocalyptic number.

131111516320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131111516320 is an abundant number, since it is smaller than the sum of its proper divisors (183717348968).

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

131111516320 is a wasteful number, since it uses less digits than its factorization.

131111516320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13433633 (or 13433625 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

Adding to 131111516320 its reverse (23615111131), we get a palindrome (154726627451).

The spelling of 131111516320 in words is "one hundred thirty-one billion, one hundred eleven million, five hundred sixteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 13433557 26867114 53734228 67167785 107468456 134335570 214936912 268671140 429873824 537342280 819446977 1074684560 1638893954 2149369120 3277787908 4097234885 6555575816 8194469770 13111151632 16388939540 26222303264 32777879080 65555758160 131111516320