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131221213000 = 2353131221213
BaseRepresentation
bin111101000110101100…
…1001100111101001000
3110112201000212021220221
41322031121030331020
54122220112304000
6140140541555424
712323532623053
oct1721531147510
9415630767827
10131221213000
1150717a54579
1221521875b74
13c4b2bb5587
1464cb75ba9a
15363018e61a
hex1e8d64cf48

131221213000 has 32 divisors (see below), whose sum is σ = 307057640760. Its totient is φ = 52488484800.

The previous prime is 131221212971. The next prime is 131221213009. The reversal of 131221213000 is 312122131.

It can be written as a sum of positive squares in 4 ways, for example, as 7143968484 + 124077244516 = 84522^2 + 352246^2 .

It is not an unprimeable number, because it can be changed into a prime (131221213009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65609607 + ... + 65611606.

Almost surely, 2131221213000 is an apocalyptic number.

131221213000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131221213000 is an abundant number, since it is smaller than the sum of its proper divisors (175836427760).

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

131221213000 is a wasteful number, since it uses less digits than its factorization.

131221213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131221234 (or 131221220 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 131221213000 its reverse (312122131), we get a palindrome (131533335131).

The spelling of 131221213000 in words is "one hundred thirty-one billion, two hundred twenty-one million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 131221213 262442426 524884852 656106065 1049769704 1312212130 2624424260 3280530325 5248848520 6561060650 13122121300 16402651625 26244242600 32805303250 65610606500 131221213000