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210131220 = 2235132172353
BaseRepresentation
bin11001000011001…
…01100100010100
3112122101202211210
430201211210110
5412243144340
632503501420
75131041315
oct1441454424
9478352753
10210131220
11a8682772
125a457870
13346c3800
141dc9c60c
15136ab180
hexc865914

210131220 has 288 divisors, whose sum is σ = 717196032. Its totient is φ = 45686784.

The previous prime is 210131189. The next prime is 210131221. The reversal of 210131220 is 22131012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210131196 and 210131205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210131221) 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 95 ways as a sum of consecutive naturals, for example, 3964714 + ... + 3964766.

It is an arithmetic number, because the mean of its divisors is an integer number (2490264).

Almost surely, 2210131220 is an apocalyptic number.

210131220 is a gapful number since it is divisible by the number (20) 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 210131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358598016).

210131220 is an abundant number, since it is smaller than the sum of its proper divisors (507064812).

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

210131220 is a wasteful number, since it uses less digits than its factorization.

210131220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 210131220 is about 14495.9035592818. The cubic root of 210131220 is about 594.5159729017.

Adding to 210131220 its reverse (22131012), we get a palindrome (232262232).

The spelling of 210131220 in words is "two hundred ten million, one hundred thirty-one thousand, two hundred twenty".