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131000220 = 223351318661
BaseRepresentation
bin1111100111011…
…10011110011100
3100010111111112000
413303232132130
5232014001340
620555442300
73150324561
oct763563634
9303444460
10131000220
1167a4544a
1237a56390
13211a8b30
1413580868
15b779d30
hex7cee79c

131000220 has 96 divisors (see below), whose sum is σ = 438930240. Its totient is φ = 32244480.

The previous prime is 131000197. The next prime is 131000227. The reversal of 131000220 is 22000131.

It is a happy number.

It is a super-2 number, since 2×1310002202 = 34322115280096800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131000227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2311 + ... + 16350.

It is an arithmetic number, because the mean of its divisors is an integer number (4572190).

Almost surely, 2131000220 is an apocalyptic number.

131000220 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 131000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219465120).

131000220 is an abundant number, since it is smaller than the sum of its proper divisors (307930020).

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

131000220 is a wasteful number, since it uses less digits than its factorization.

131000220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18692 (or 18684 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 131000220 is about 11445.5327530002. The cubic root of 131000220 is about 507.8755921199.

Adding to 131000220 its reverse (22000131), we get a palindrome (153000351).

The spelling of 131000220 in words is "one hundred thirty-one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 18661 37322 55983 74644 93305 111966 167949 186610 223932 242593 279915 335898 373220 485186 503847 559830 671796 727779 839745 970372 1007694 1119660 1212965 1455558 1679490 2015388 2183337 2425930 2519235 2911116 3358980 3638895 4366674 4851860 5038470 6550011 7277790 8733348 10076940 10916685 13100022 14555580 21833370 26200044 32750055 43666740 65500110 131000220