Search a number
-
+
131100320 = 2551363029
BaseRepresentation
bin1111101000001…
…10111010100000
3100010200120211102
413310012322200
5232030202240
621001533532
73151222451
oct764067240
9303616742
10131100320
116800367a
1237aa42a8
1321212570
14135a9128
15b799815
hex7d06ea0

131100320 has 48 divisors (see below), whose sum is σ = 333554760. Its totient is φ = 48405504.

The previous prime is 131100313. The next prime is 131100341. The reversal of 131100320 is 23001131.

It can be written as a sum of positive squares in 4 ways, for example, as 115004176 + 16096144 = 10724^2 + 4012^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29435 + ... + 33594.

Almost surely, 2131100320 is an apocalyptic number.

131100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131100320 is an abundant number, since it is smaller than the sum of its proper divisors (202454440).

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

131100320 is a wasteful number, since it uses less digits than its factorization.

131100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63057 (or 63049 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 131100320 is about 11449.9048030977. The cubic root of 131100320 is about 508.0049186289.

Adding to 131100320 its reverse (23001131), we get a palindrome (154101451).

The spelling of 131100320 in words is "one hundred thirty-one million, one hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 63029 126058 252116 315145 504232 630290 819377 1008464 1260580 1638754 2016928 2521160 3277508 4096885 5042320 6555016 8193770 10084640 13110032 16387540 26220064 32775080 65550160 131100320