[go: up one dir, main page]

Search a number
-
+
2112021210 = 235138836133
BaseRepresentation
bin111110111100010…
…1110001011011010
312110012010210102210
41331320232023122
513311134134320
6545323535550
7103223612145
oct17570561332
95405123383
102112021210
119941a9882
124ab38a5b6
132787396c0
141606d905c
15c563e0e0
hex7de2e2da

2112021210 has 64 divisors (see below), whose sum is σ = 5465835648. Its totient is φ = 519208704.

The previous prime is 2112021203. The next prime is 2112021217. The reversal of 2112021210 is 121202112.

It is an interprime number because it is at equal distance from previous prime (2112021203) and next prime (2112021217).

It is not an unprimeable number, because it can be changed into a prime (2112021217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341304 + ... + 347436.

It is an arithmetic number, because the mean of its divisors is an integer number (85403682).

Almost surely, 22112021210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112021210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2732917824).

2112021210 is an abundant number, since it is smaller than the sum of its proper divisors (3353814438).

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

2112021210 is a wasteful number, since it uses less digits than its factorization.

2112021210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7039.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2112021210 is about 45956.7319334175. The cubic root of 2112021210 is about 1283.0180269210.

Adding to 2112021210 its reverse (121202112), we get a palindrome (2233223322).

The spelling of 2112021210 in words is "two billion, one hundred twelve million, twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 883 1766 2649 4415 5298 6133 8830 11479 12266 13245 18399 22958 26490 30665 34437 36798 57395 61330 68874 79729 91995 114790 159458 172185 183990 239187 344370 398645 478374 797290 1195935 2391870 5415439 10830878 16246317 27077195 32492634 54154390 70400707 81231585 140801414 162463170 211202121 352003535 422404242 704007070 1056010605 2112021210