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131130301300 = 22526532008121
BaseRepresentation
bin111101000011111111…
…0011001101101110100
3110112110200210111111221
41322013332121231310
54122023324120200
6140123533240124
712321350112265
oct1720776315564
9415420714457
10131130301300
1150680700239
12214b7333044
13c49a10467b
1464bd65496c
1536271d291a
hex1e87f99b74

131130301300 has 36 divisors (see below), whose sum is σ = 284988657996. Its totient is φ = 52371769600.

The previous prime is 131130301297. The next prime is 131130301319. The reversal of 131130301300 is 3103031131.

It can be written as a sum of positive squares in 6 ways, for example, as 6332021476 + 124798279824 = 79574^2 + 353268^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 938761 + ... + 1069360.

It is an arithmetic number, because the mean of its divisors is an integer number (7916351611).

Almost surely, 2131130301300 is an apocalyptic number.

131130301300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131130301300 is an abundant number, since it is smaller than the sum of its proper divisors (153858356696).

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

131130301300 is a wasteful number, since it uses less digits than its factorization.

131130301300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008788 (or 2008781 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 131130301300 its reverse (3103031131), we get a palindrome (134233332431).

The spelling of 131130301300 in words is "one hundred thirty-one billion, one hundred thirty million, three hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 653 1306 2612 3265 6530 13060 16325 32650 65300 2008121 4016242 8032484 10040605 20081210 40162420 50203025 100406050 200812100 1311303013 2622606026 5245212052 6556515065 13113030130 26226060260 32782575325 65565150650 131130301300