Search a number
-
+
2321021010 = 2357113492879
BaseRepresentation
bin1000101001010111…
…1111100001010010
312222202102002021010
42022111333201102
514223140133020
61022151311350
7111342232050
oct21225774122
95882362233
102321021010
11a91179490
1254937b556
132acb25219
141803811d0
15d8b74de0
hex8a57f852

2321021010 has 128 divisors (see below), whose sum is σ = 6967296000. Its totient is φ = 480741120.

The previous prime is 2321020993. The next prime is 2321021071. The reversal of 2321021010 is 101201232.

2321021010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23210210102 = 10774277057722840200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 804751 + ... + 807629.

It is an arithmetic number, because the mean of its divisors is an integer number (54432000).

Almost surely, 22321021010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2321021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483648000).

2321021010 is an abundant number, since it is smaller than the sum of its proper divisors (4646274990).

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

2321021010 is a wasteful number, since it uses less digits than its factorization.

2321021010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2321021010 is about 48176.9759324929. The cubic root of 2321021010 is about 1324.0153615076.

Adding to 2321021010 its reverse (101201232), we get a palindrome (2422222242).

The spelling of 2321021010 in words is "two billion, three hundred twenty-one million, twenty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 349 385 462 698 770 1047 1155 1745 2094 2310 2443 2879 3490 3839 4886 5235 5758 7329 7678 8637 10470 11517 12215 14395 14658 17274 19195 20153 23034 24430 26873 28790 31669 36645 38390 40306 43185 53746 57585 60459 63338 73290 80619 86370 95007 100765 115170 120918 134365 158345 161238 190014 201530 221683 268730 302295 316690 403095 443366 475035 604590 665049 806190 950070 1004771 1108415 1330098 2009542 2216830 3014313 3325245 5023855 6028626 6650490 7033397 10047710 11052481 14066794 15071565 21100191 22104962 30143130 33157443 35166985 42200382 55262405 66314886 70333970 77367367 105500955 110524810 154734734 165787215 211001910 232102101 331574430 386836835 464204202 773673670 1160510505 2321021010