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2102010220 = 2251752311821
BaseRepresentation
bin111110101001010…
…0010000101101100
312102111022011221101
41331102202011230
513301103311340
6544325212444
7103042535452
oct17522420554
95374264841
102102010220
11989591432
124a7b61124
13276642b3b
1415d2509d2
15c4812c9a
hex7d4a216c

2102010220 has 48 divisors (see below), whose sum is σ = 4683214368. Its totient is φ = 789765120.

The previous prime is 2102010193. The next prime is 2102010221. The reversal of 2102010220 is 220102012.

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 = 2102010197 and 2102010206.

It is not an unprimeable number, because it can be changed into a prime (2102010221) 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, 171910 + ... + 183730.

It is an arithmetic number, because the mean of its divisors is an integer number (97566966).

Almost surely, 22102010220 is an apocalyptic number.

2102010220 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 2102010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341607184).

2102010220 is an abundant number, since it is smaller than the sum of its proper divisors (2581204148).

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

2102010220 is a wasteful number, since it uses less digits than its factorization.

2102010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12370 (or 12368 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2102010220 is about 45847.6850015352. The cubic root of 2102010220 is about 1280.9876451286.

Adding to 2102010220 its reverse (220102012), we get a palindrome (2322112232).

The spelling of 2102010220 in words is "two billion, one hundred two million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 523 1046 2092 2615 5230 8891 10460 11821 17782 23642 35564 44455 47284 59105 88910 118210 177820 200957 236420 401914 803828 1004785 2009570 4019140 6182383 12364766 24729532 30911915 61823830 105100511 123647660 210201022 420402044 525502555 1051005110 2102010220