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131200303130 = 25131759366653
BaseRepresentation
bin111101000110000100…
…1011100000000011010
3110112122120111221222022
41322030021130000122
54122144234200010
6140134513454442
712323160114251
oct1721411340032
9415576457868
10131200303130
1150707172696
1221516871422
13c4ab773c80
1464c8a77798
15362d40dd55
hex1e8c25c01a

131200303130 has 32 divisors (see below), whose sum is σ = 269287142544. Its totient is φ = 45593588736.

The previous prime is 131200303127. The next prime is 131200303139. The reversal of 131200303130 is 31303002131.

It can be written as a sum of positive squares in 8 ways, for example, as 20258682889 + 110941620241 = 142333^2 + 333079^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 131200303099 and 131200303108.

It is not an unprimeable number, because it can be changed into a prime (131200303139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29681117 + ... + 29685536.

Almost surely, 2131200303130 is an apocalyptic number.

131200303130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131200303130 is an abundant number, since it is smaller than the sum of its proper divisors (138086839414).

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

131200303130 is a wasteful number, since it uses less digits than its factorization.

131200303130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59366690.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 131200303130 its reverse (31303002131), we get a palindrome (162503305261).

The spelling of 131200303130 in words is "one hundred thirty-one billion, two hundred million, three hundred three thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 59366653 118733306 296833265 593666530 771766489 1009233101 1543532978 2018466202 3858832445 5046165505 7717664890 10092331010 13120030313 26240060626 65600151565 131200303130