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2102301000 = 23335377863
BaseRepresentation
bin111110101001110…
…1001000101001000
312102111211221211000
41331103221011020
513301142113000
6544335335000
7103045156302
oct17523510510
95374757730
102102301000
1198976a948
124a8081460
132767152b7
1415d2c8972
15c486e000
hex7d4e9148

2102301000 has 128 divisors (see below), whose sum is σ = 7288070400. Its totient is φ = 560606400.

The previous prime is 2102300933. The next prime is 2102301001. The reversal of 2102301000 is 1032012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102301001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11932 + ... + 65931.

It is an arithmetic number, because the mean of its divisors is an integer number (56938050).

Almost surely, 22102301000 is an apocalyptic number.

2102301000 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 2102301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644035200).

2102301000 is an abundant number, since it is smaller than the sum of its proper divisors (5185769400).

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

2102301000 is a wasteful number, since it uses less digits than its factorization.

2102301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77893 (or 77873 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2102301000 is about 45850.8560443532. The cubic root of 2102301000 is about 1281.0467105586.

Adding to 2102301000 its reverse (1032012), we get a palindrome (2103333012).

The spelling of 2102301000 in words is "two billion, one hundred two million, three hundred one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 125 135 150 180 200 216 225 250 270 300 360 375 450 500 540 600 675 750 900 1000 1080 1125 1350 1500 1800 2250 2700 3000 3375 4500 5400 6750 9000 13500 27000 77863 155726 233589 311452 389315 467178 622904 700767 778630 934356 1167945 1401534 1557260 1868712 1946575 2102301 2335890 2803068 3114520 3503835 3893150 4204602 4671780 5606136 5839725 7007670 7786300 8409204 9343560 9732875 10511505 11679450 14015340 15572600 16818408 17519175 19465750 21023010 23358900 28030680 29198625 35038350 38931500 42046020 46717800 52557525 58397250 70076700 77863000 84092040 87595875 105115050 116794500 140153400 175191750 210230100 233589000 262787625 350383500 420460200 525575250 700767000 1051150500 2102301000