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131220520 = 235233143107
BaseRepresentation
bin1111101001001…
…00010000101000
3100010220200201021
413310210100220
5232043024040
621004302224
73152233054
oct764442050
9303820637
10131220520
1168085a12
1237b41974
13212551a2
14135dac64
15b7c024a
hex7d24428

131220520 has 128 divisors (see below), whose sum is σ = 328458240. Its totient is φ = 47013120.

The previous prime is 131220499. The next prime is 131220521. The reversal of 131220520 is 25022131.

It is a junction number, because it is equal to n+sod(n) for n = 131220494 and 131220503.

It is not an unprimeable number, because it can be changed into a prime (131220521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1226307 + ... + 1226413.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 2131220520 is an apocalyptic number.

131220520 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 131220520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164229120).

131220520 is an abundant number, since it is smaller than the sum of its proper divisors (197237720).

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

131220520 is a wasteful number, since it uses less digits than its factorization.

131220520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 131220520 is about 11455.1525524543. The cubic root of 131220520 is about 508.1601268414.

Adding to 131220520 its reverse (25022131), we get a palindrome (156242651).

The spelling of 131220520 in words is "one hundred thirty-one million, two hundred twenty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 31 40 43 46 62 86 92 107 115 124 155 172 184 214 215 230 248 310 344 428 430 460 535 620 713 856 860 920 989 1070 1240 1333 1426 1720 1978 2140 2461 2666 2852 3317 3565 3956 4280 4601 4922 4945 5332 5704 6634 6665 7130 7912 9202 9844 9890 10664 12305 13268 13330 14260 16585 18404 19688 19780 23005 24610 26536 26660 28520 30659 33170 36808 39560 46010 49220 53320 61318 66340 76291 92020 98440 105823 122636 132680 142631 152582 153295 184040 211646 245272 285262 305164 306590 381455 423292 529115 570524 610328 613180 713155 762910 846584 1058230 1141048 1226360 1426310 1525820 2116460 2852620 3051640 3280513 4232920 5705240 6561026 13122052 16402565 26244104 32805130 65610260 131220520