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131144330000 = 245413114433
BaseRepresentation
bin111101000100011001…
…1111010101100010000
3110112111200012020021102
41322020303322230100
54122040422030000
6140125154043532
712321610261265
oct1721063725420
9415450166242
10131144330000
1150688612202
12214bbb795a8
13c49cca6b88
1464c146726c
1536285543d5
hex1e88cfab10

131144330000 has 50 divisors (see below), whose sum is σ = 317513561574. Its totient is φ = 52457728000.

The previous prime is 131144329991. The next prime is 131144330011. The reversal of 131144330000 is 33441131.

It can be written as a sum of positive squares in 5 ways, for example, as 99409045264 + 31735284736 = 315292^2 + 178144^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a super-2 number, since 2×1311443300002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6547217 + ... + 6567216.

Almost surely, 2131144330000 is an apocalyptic number.

131144330000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131144330000 is an abundant number, since it is smaller than the sum of its proper divisors (186369231574).

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

131144330000 is an equidigital number, since it uses as much as digits as its factorization.

131144330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13114461 (or 13114440 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 131144330000 its reverse (33441131), we get a palindrome (131177771131).

The spelling of 131144330000 in words is "one hundred thirty-one billion, one hundred forty-four million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 13114433 26228866 52457732 65572165 104915464 131144330 209830928 262288660 327860825 524577320 655721650 1049154640 1311443300 1639304125 2622886600 3278608250 5245773200 6557216500 8196520625 13114433000 16393041250 26228866000 32786082500 65572165000 131144330000