Search a number
-
+
2122001120 = 255472691049
BaseRepresentation
bin111111001111011…
…0010101011100000
312110212220211022002
41332132302223200
513321213013440
6550321503132
7103404466121
oct17636625340
95425824262
102122001120
119998a5938
124b27a1aa8
1327a822085
14161b76048
15c6461115
hex7e7b2ae0

2122001120 has 96 divisors (see below), whose sum is σ = 5143824000. Its totient is φ = 826863616.

The previous prime is 2122001099. The next prime is 2122001129. The reversal of 2122001120 is 211002212.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122001129) 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, 2022356 + ... + 2023404.

It is an arithmetic number, because the mean of its divisors is an integer number (53581500).

Almost surely, 22122001120 is an apocalyptic number.

2122001120 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 2122001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571912000).

2122001120 is an abundant number, since it is smaller than the sum of its proper divisors (3021822880).

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

2122001120 is a wasteful number, since it uses less digits than its factorization.

2122001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2122001120 is about 46065.1833818123. The cubic root of 2122001120 is about 1285.0357290454.

Adding to 2122001120 its reverse (211002212), we get a palindrome (2333003332).

The spelling of 2122001120 in words is "two billion, one hundred twenty-two million, one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 47 80 94 160 188 235 269 376 470 538 752 940 1049 1076 1345 1504 1880 2098 2152 2690 3760 4196 4304 5245 5380 7520 8392 8608 10490 10760 12643 16784 20980 21520 25286 33568 41960 43040 49303 50572 63215 83920 98606 101144 126430 167840 197212 202288 246515 252860 282181 394424 404576 493030 505720 564362 788848 986060 1011440 1128724 1410905 1577696 1972120 2022880 2257448 2821810 3944240 4514896 5643620 7888480 9029792 11287240 13262507 22574480 26525014 45148960 53050028 66312535 106100056 132625070 212200112 265250140 424400224 530500280 1061000560 2122001120