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131212220 = 22561131821
BaseRepresentation
bin1111101001000…
…10001110111100
3100010220021022212
413310202032330
5232042242340
621004155552
73152166626
oct764421674
9303807285
10131212220
116807a757
1237b38bb8
1321251489
14135d7c16
15b7bca65
hex7d223bc

131212220 has 48 divisors (see below), whose sum is σ = 282544416. Its totient is φ = 51168000.

The previous prime is 131212199. The next prime is 131212223. The reversal of 131212220 is 22212131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 131212195 and 131212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131212223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159410 + ... + 160230.

It is an arithmetic number, because the mean of its divisors is an integer number (5886342).

Almost surely, 2131212220 is an apocalyptic number.

131212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131212220 is an abundant number, since it is smaller than the sum of its proper divisors (151332196).

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

131212220 is a wasteful number, since it uses less digits than its factorization.

131212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 131212220 is about 11454.7902643392. The cubic root of 131212220 is about 508.1494125162.

Adding to 131212220 its reverse (22212131), we get a palindrome (153424351).

The spelling of 131212220 in words is "one hundred thirty-one million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 131 244 262 305 524 610 655 821 1220 1310 1642 2620 3284 4105 7991 8210 15982 16420 31964 39955 50081 79910 100162 107551 159820 200324 215102 250405 430204 500810 537755 1001620 1075510 2151020 6560611 13121222 26242444 32803055 65606110 131212220