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131213250 = 2335372777
BaseRepresentation
bin1111101001000…
…10011111000010
3100010220022202000
413310202133002
5232042311000
621004204430
73152202630
oct764423702
9303808660
10131213250
1168080503
1237b39716
1321251a9c
14135d8350
15b7bd000
hex7d227c2

131213250 has 128 divisors (see below), whose sum is σ = 416033280. Its totient is φ = 29980800.

The previous prime is 131213249. The next prime is 131213261. The reversal of 131213250 is 52312131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45862 + ... + 48638.

It is an arithmetic number, because the mean of its divisors is an integer number (3250260).

Almost surely, 2131213250 is an apocalyptic number.

131213250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131213250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208016640).

131213250 is an abundant number, since it is smaller than the sum of its proper divisors (284820030).

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

131213250 is a wasteful number, since it uses less digits than its factorization.

131213250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131213250 is about 11454.8352236075. The cubic root of 131213250 is about 508.1507421498.

Adding to 131213250 its reverse (52312131), we get a palindrome (183525381).

The spelling of 131213250 in words is "one hundred thirty-one million, two hundred thirteen thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 125 126 135 150 175 189 210 225 250 270 315 350 375 378 450 525 630 675 750 875 945 1050 1125 1350 1575 1750 1890 2250 2625 2777 3150 3375 4725 5250 5554 6750 7875 8331 9450 13885 15750 16662 19439 23625 24993 27770 38878 41655 47250 49986 58317 69425 74979 83310 97195 116634 124965 138850 149958 174951 194390 208275 249930 291585 347125 349902 374895 416550 485975 524853 583170 624825 694250 749790 874755 971950 1041375 1049706 1249650 1457925 1749510 1874475 2082750 2429875 2624265 2915850 3124125 3748950 4373775 4859750 5248530 6248250 7289625 8747550 9372375 13121325 14579250 18744750 21868875 26242650 43737750 65606625 131213250