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131010220 = 225111573793
BaseRepresentation
bin1111100111100…
…00111010101100
3100010112000020101
413303300322230
5232014311340
621000000444
73150365665
oct763607254
9303460211
10131010220
1167a51a10
1237a60124
13211b0553
141358436c
15b77cc9a
hex7cf0eac

131010220 has 48 divisors (see below), whose sum is σ = 302123808. Its totient is φ = 47324160.

The previous prime is 131010179. The next prime is 131010227. The reversal of 131010220 is 22010131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 131010197 and 131010206.

It is not an unprimeable number, because it can be changed into a prime (131010227) 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, 32644 + ... + 36436.

It is an arithmetic number, because the mean of its divisors is an integer number (6294246).

Almost surely, 2131010220 is an apocalyptic number.

131010220 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 131010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151061904).

131010220 is an abundant number, since it is smaller than the sum of its proper divisors (171113588).

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

131010220 is a wasteful number, since it uses less digits than its factorization.

131010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3968 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 131010220 is about 11445.9695963252. The cubic root of 131010220 is about 507.8885148124. Note that the first 3 decimals are identical.

Adding to 131010220 its reverse (22010131), we get a palindrome (153020351).

The spelling of 131010220 in words is "one hundred thirty-one million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 314 628 785 1570 1727 3140 3454 3793 6908 7586 8635 15172 17270 18965 34540 37930 41723 75860 83446 166892 208615 417230 595501 834460 1191002 2382004 2977505 5955010 6550511 11910020 13101022 26202044 32752555 65505110 131010220