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131221300 = 225271711027
BaseRepresentation
bin1111101001001…
…00011100110100
3100010220201210011
413310210130310
5232043040200
621004310004
73152235250
oct764443464
9303821704
10131221300
1168086561
1237b42304
1321255652
14135db260
15b7c05ba
hex7d24734

131221300 has 72 divisors (see below), whose sum is σ = 344602944. Its totient is φ = 42339840.

The previous prime is 131221289. The next prime is 131221301. The reversal of 131221300 is 3122131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6387 + ... + 17413.

It is an arithmetic number, because the mean of its divisors is an integer number (4786152).

Almost surely, 2131221300 is an apocalyptic number.

131221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172301472).

131221300 is an abundant number, since it is smaller than the sum of its proper divisors (213381644).

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

131221300 is a wasteful number, since it uses less digits than its factorization.

131221300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11065 (or 11058 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 131221300 is about 11455.1865982183. The cubic root of 131221300 is about 508.1611337066.

Adding to 131221300 its reverse (3122131), we get a palindrome (134343431).

The spelling of 131221300 in words is "one hundred thirty-one million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1700 2380 2975 5950 11027 11900 22054 44108 55135 77189 110270 154378 187459 220540 275675 308756 374918 385945 551350 749836 771890 937295 1102700 1312213 1543780 1874590 1929725 2624426 3749180 3859450 4686475 5248852 6561065 7718900 9372950 13122130 18745900 26244260 32805325 65610650 131221300