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131221230 = 2357292743
BaseRepresentation
bin1111101001001…
…00011011101110
3100010220201200120
413310210123232
5232043034410
621004305410
73152235120
oct764443356
9303821616
10131221230
11680864a8
1237b42266
13212555ca
14135db210
15b7c0570
hex7d246ee

131221230 has 96 divisors (see below), whose sum is σ = 373261824. Its totient is φ = 28920192.

The previous prime is 131221229. The next prime is 131221231. The reversal of 131221230 is 32122131.

It is an interprime number because it is at equal distance from previous prime (131221229) and next prime (131221231).

It is a super-2 number, since 2×1312212302 = 34438022405425800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131221231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176239 + ... + 176981.

It is an arithmetic number, because the mean of its divisors is an integer number (3888144).

Almost surely, 2131221230 is an apocalyptic number.

131221230 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 131221230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186630912).

131221230 is an abundant number, since it is smaller than the sum of its proper divisors (242040594).

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

131221230 is a wasteful number, since it uses less digits than its factorization.

131221230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 131221230 is about 11455.1835428333. The cubic root of 131221230 is about 508.1610433471.

Adding to 131221230 its reverse (32122131), we get a palindrome (163343361).

Subtracting from 131221230 its reverse (32122131), we obtain a palindrome (99099099).

The spelling of 131221230 in words is "one hundred thirty-one million, two hundred twenty-one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 743 841 870 1015 1218 1486 1682 2030 2229 2523 3045 3715 4205 4458 5046 5201 5887 6090 7430 8410 10402 11145 11774 12615 15603 17661 21547 22290 25230 26005 29435 31206 35322 43094 52010 58870 64641 78015 88305 107735 129282 150829 156030 176610 215470 301658 323205 452487 624863 646410 754145 904974 1249726 1508290 1874589 2262435 3124315 3749178 4374041 4524870 6248630 8748082 9372945 13122123 18745890 21870205 26244246 43740410 65610615 131221230