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131325320416 = 2517733306943
BaseRepresentation
bin111101001001110011…
…0010101110011100000
3110112222021202111110011
41322103212111303200
54122423240223131
6140155141214304
712326235543163
oct1722346256340
9415867674404
10131325320416
11507707a0a64
1221550701394
13c4cb6367b4
1464db4dbada
1536393a60b1
hex1e93995ce0

131325320416 has 48 divisors (see below), whose sum is σ = 277505512704. Its totient is φ = 60953554944.

The previous prime is 131325320383. The next prime is 131325320419. The reversal of 131325320416 is 614023523131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131325320419) 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, 1613760 + ... + 1693183.

It is an arithmetic number, because the mean of its divisors is an integer number (5781364848).

Almost surely, 2131325320416 is an apocalyptic number.

131325320416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

131325320416 is an abundant number, since it is smaller than the sum of its proper divisors (146180192288).

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

131325320416 is a wasteful number, since it uses less digits than its factorization.

131325320416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3307043 (or 3307035 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

Adding to 131325320416 its reverse (614023523131), we get a palindrome (745348843547).

The spelling of 131325320416 in words is "one hundred thirty-one billion, three hundred twenty-five million, three hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 73 136 146 272 292 544 584 1168 1241 2336 2482 4964 9928 19856 39712 3306943 6613886 13227772 26455544 52911088 56218031 105822176 112436062 224872124 241406839 449744248 482813678 899488496 965627356 1798976992 1931254712 3862509424 4103916263 7725018848 8207832526 16415665052 32831330104 65662660208 131325320416