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2122313120 = 25523356929
BaseRepresentation
bin111111001111111…
…1110110110100000
312110220111200021122
41332133332312200
513321303004440
6550332311412
7103410235544
oct17637766640
95426450248
102122313120
11999a99294
124b2912568
1327a9010a5
14161c17a24
15c64c37b5
hex7e7feda0

2122313120 has 48 divisors (see below), whose sum is σ = 5035572360. Its totient is φ = 845266944.

The previous prime is 2122313107. The next prime is 2122313161. The reversal of 2122313120 is 213132212.

It can be written as a sum of positive squares in 4 ways, for example, as 688327696 + 1433985424 = 26236^2 + 37868^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8816 + ... + 65744.

Almost surely, 22122313120 is an apocalyptic number.

2122313120 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 2122313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517786180).

2122313120 is an abundant number, since it is smaller than the sum of its proper divisors (2913259240).

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

2122313120 is a wasteful number, since it uses less digits than its factorization.

2122313120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57177 (or 57169 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2122313120 is about 46068.5697629089. The cubic root of 2122313120 is about 1285.0987059991.

Adding to 2122313120 its reverse (213132212), we get a palindrome (2335445332).

It can be divided in two parts, 21223 and 13120, that added together give a palindrome (34343).

The spelling of 2122313120 in words is "two billion, one hundred twenty-two million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 233 466 932 1165 1864 2330 3728 4660 7456 9320 18640 37280 56929 113858 227716 284645 455432 569290 910864 1138580 1821728 2277160 4554320 9108640 13264457 26528914 53057828 66322285 106115656 132644570 212231312 265289140 424462624 530578280 1061156560 2122313120