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131351135345 = 537710006137
BaseRepresentation
bin111101001010100100…
…0110100010001110001
3110120001002100000212122
41322111020310101301
54123001342312340
6140201502404025
712330001141313
oct1722510642161
9416032300778
10131351135345
1150784323111
1221559290615
13c503aa48c1
146500adb7b3
15363b7a4db5
hex1e95234471

131351135345 has 8 divisors (see below), whose sum is σ = 161881399464. Its totient is φ = 102240883584.

The previous prime is 131351135309. The next prime is 131351135393. The reversal of 131351135345 is 543531153131.

It can be written as a sum of positive squares in 4 ways, for example, as 5263647601 + 126087487744 = 72551^2 + 355088^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131351135345 - 214 = 131351118961 is a prime.

It is a super-3 number, since 3×1313511353453 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 355002884 + ... + 355003253.

It is an arithmetic number, because the mean of its divisors is an integer number (20235174933).

Almost surely, 2131351135345 is an apocalyptic number.

It is an amenable number.

131351135345 is a deficient number, since it is larger than the sum of its proper divisors (30530264119).

131351135345 is an equidigital number, since it uses as much as digits as its factorization.

131351135345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710006179.

The product of its digits is 40500, while the sum is 35.

Adding to 131351135345 its reverse (543531153131), we get a palindrome (674882288476).

The spelling of 131351135345 in words is "one hundred thirty-one billion, three hundred fifty-one million, one hundred thirty-five thousand, three hundred forty-five".

Divisors: 1 5 37 185 710006137 3550030685 26270227069 131351135345