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2102015320 = 235178573607
BaseRepresentation
bin111110101001010…
…0011010101011000
312102111022102221021
41331102203111120
513301103442240
6544325252224
7103042556356
oct17522432530
95374272837
102102015320
11989595249
124a7b64074
13276645262
1415d2527d6
15c481454a
hex7d4a3558

2102015320 has 64 divisors (see below), whose sum is σ = 5014975680. Its totient is φ = 790204416.

The previous prime is 2102015273. The next prime is 2102015327. The reversal of 2102015320 is 235102012.

It is a junction number, because it is equal to n+sod(n) for n = 2102015294 and 2102015303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102015327) 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, 580957 + ... + 584563.

It is an arithmetic number, because the mean of its divisors is an integer number (78358995).

Almost surely, 22102015320 is an apocalyptic number.

2102015320 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 2102015320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2507487840).

2102015320 is an abundant number, since it is smaller than the sum of its proper divisors (2912960360).

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

2102015320 is a wasteful number, since it uses less digits than its factorization.

2102015320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4488 counting only the distinct ones).

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

The square root of 2102015320 is about 45847.7406204493. The cubic root of 2102015320 is about 1280.9886811260.

Adding to 2102015320 its reverse (235102012), we get a palindrome (2337117332).

The spelling of 2102015320 in words is "two billion, one hundred two million, fifteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 857 1714 3428 3607 4285 6856 7214 8570 14428 14569 17140 18035 28856 29138 34280 36070 58276 61319 72140 72845 116552 122638 144280 145690 245276 291380 306595 490552 582760 613190 1226380 2452760 3091199 6182398 12364796 15455995 24729592 30911990 52550383 61823980 105100766 123647960 210201532 262751915 420403064 525503830 1051007660 2102015320