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2102020080 = 2435171015101
BaseRepresentation
bin111110101001010…
…0100011111110000
312102111022200110120
41331102210133300
513301104120310
6544325330240
7103042606266
oct17522443760
95374280416
102102020080
11989598886
124a7b66980
13276647484
1415d254436
15c4815b70
hex7d4a47f0

2102020080 has 160 divisors (see below), whose sum is σ = 6969250368. Its totient is φ = 522240000.

The previous prime is 2102020073. The next prime is 2102020147. The reversal of 2102020080 is 800202012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409530 + ... + 414630.

Almost surely, 22102020080 is an apocalyptic number.

2102020080 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 2102020080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484625184).

2102020080 is an abundant number, since it is smaller than the sum of its proper divisors (4867230288).

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

2102020080 is a wasteful number, since it uses less digits than its factorization.

2102020080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5235 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2102020080 is about 45847.7925313749. The cubic root of 2102020080 is about 1280.9896480555.

Adding to 2102020080 its reverse (800202012), we get a palindrome (2902222092).

The spelling of 2102020080 in words is "two billion, one hundred two million, twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 101 102 120 136 170 202 204 240 255 272 303 340 404 408 505 510 606 680 808 816 1010 1020 1212 1360 1515 1616 1717 2020 2040 2424 3030 3434 4040 4080 4848 5101 5151 6060 6868 8080 8585 10202 10302 12120 13736 15303 17170 20404 20604 24240 25505 25755 27472 30606 34340 40808 41208 51010 51510 61212 68680 76515 81616 82416 86717 102020 103020 122424 137360 153030 173434 204040 206040 244848 260151 306060 346868 408080 412080 433585 515201 520302 612120 693736 867170 1030402 1040604 1224240 1300755 1387472 1545603 1734340 2060804 2081208 2576005 2601510 3091206 3468680 4121608 4162416 5152010 5203020 6182412 6937360 7728015 8243216 8758417 10304020 10406040 12364824 15456030 17516834 20608040 20812080 24729648 26275251 30912060 35033668 41216080 43792085 52550502 61824120 70067336 87584170 105101004 123648240 131376255 140134672 175168340 210202008 262752510 350336680 420404016 525505020 700673360 1051010040 2102020080