Search a number
-
+
11201211210 = 2357307173743
BaseRepresentation
bin10100110111010010…
…01110101101001010
31001220122001111010110
422123221032231022
5140420002224320
65051252455150
7544401503310
oct123351165512
931818044113
1011201211210
114828878852
12220731a4b6
131096817037
147838ca0b0
154585875e0
hex29ba4eb4a

11201211210 has 64 divisors (see below), whose sum is σ = 30823575552. Its totient is φ = 2551922496.

The previous prime is 11201211017. The next prime is 11201211211. The reversal of 11201211210 is 1211210211.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11201211211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22402 + ... + 151341.

It is an arithmetic number, because the mean of its divisors is an integer number (481618368).

Almost surely, 211201211210 is an apocalyptic number.

11201211210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11201211210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15411787776).

11201211210 is an abundant number, since it is smaller than the sum of its proper divisors (19622364342).

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

11201211210 is a wasteful number, since it uses less digits than its factorization.

11201211210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174067.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11201211210 its reverse (1211210211), we get a palindrome (12412421421).

Subtracting from 11201211210 its reverse (1211210211), we obtain a palindrome (9990000999).

The spelling of 11201211210 in words is "eleven billion, two hundred one million, two hundred eleven thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 307 614 921 1535 1842 2149 3070 4298 4605 6447 9210 10745 12894 21490 32235 64470 173743 347486 521229 868715 1042458 1216201 1737430 2432402 2606145 3648603 5212290 6081005 7297206 12162010 18243015 36486030 53339101 106678202 160017303 266695505 320034606 373373707 533391010 746747414 800086515 1120121121 1600173030 1866868535 2240242242 3733737070 5600605605 11201211210