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2121301000 = 235371323311
BaseRepresentation
bin111111001110000…
…0111110000001000
312110211121020220201
41332130013300020
513321023113000
6550254501544
7103365522010
oct17634076010
95424536821
102121301000
11999467925
124b25048b4
1327a6384c0
14161a32c40
15c637396a
hex7e707c08

2121301000 has 128 divisors (see below), whose sum is σ = 6109608960. Its totient is φ = 671328000.

The previous prime is 2121300997. The next prime is 2121301033. The reversal of 2121301000 is 1031212.

It is a super-3 number, since 3×21213010003 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79345 + ... + 102655.

It is an arithmetic number, because the mean of its divisors is an integer number (47731320).

Almost surely, 22121301000 is an apocalyptic number.

2121301000 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 2121301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054804480).

2121301000 is an abundant number, since it is smaller than the sum of its proper divisors (3988307960).

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

2121301000 is a wasteful number, since it uses less digits than its factorization.

2121301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23352 (or 23338 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 2121301000 is about 46057.5835232375. The cubic root of 2121301000 is about 1284.8943879045.

Adding to 2121301000 its reverse (1031212), we get a palindrome (2122332212).

The spelling of 2121301000 in words is "two billion, one hundred twenty-one million, three hundred one thousand".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 125 130 140 175 182 200 250 260 280 325 350 364 455 500 520 650 700 728 875 910 1000 1300 1400 1625 1750 1820 2275 2600 3250 3500 3640 4550 6500 7000 9100 11375 13000 18200 22750 23311 45500 46622 91000 93244 116555 163177 186488 233110 303043 326354 466220 582775 606086 652708 815885 932440 1165550 1212172 1305416 1515215 1631770 2121301 2331100 2424344 2913875 3030430 3263540 4079425 4242602 4662200 5827750 6060860 6527080 7576075 8158850 8485204 10606505 11655500 12121720 15152150 16317700 16970408 20397125 21213010 23311000 30304300 32635400 37880375 40794250 42426020 53032525 60608600 75760750 81588500 84852040 106065050 151521500 163177000 212130100 265162625 303043000 424260200 530325250 1060650500 2121301000