Search a number
-
+
211221010 = 257111321101
BaseRepresentation
bin11001001011011…
…11101000010010
3112201110010202101
430211233220102
5413033033020
632543111014
75143230460
oct1445575022
9481403671
10211221010
11a9257520
125a8a246a
13349b5860
14200a3830
151382400a
hexc96fa12

211221010 has 64 divisors (see below), whose sum is σ = 510499584. Its totient is φ = 60768000.

The previous prime is 211220993. The next prime is 211221013. The reversal of 211221010 is 10122112.

211221010 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 2×2112210102 = 89228630130840200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (211221013) 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, 541 + ... + 20560.

It is an arithmetic number, because the mean of its divisors is an integer number (7976556).

Almost surely, 2211221010 is an apocalyptic number.

211221010 is an abundant number, since it is smaller than the sum of its proper divisors (299278574).

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

211221010 is a wasteful number, since it uses less digits than its factorization.

211221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21139.

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 211221010 is about 14533.4445332137. Note that the first 3 decimals coincide. The cubic root of 211221010 is about 595.5419678782.

Adding to 211221010 its reverse (10122112), we get a palindrome (221343122).

The spelling of 211221010 in words is "two hundred eleven million, two hundred twenty-one thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 21101 42202 105505 147707 211010 232111 274313 295414 464222 548626 738535 1160555 1371565 1477070 1624777 1920191 2321110 2743130 3017443 3249554 3840382 6034886 8123885 9600955 15087215 16247770 19201910 21122101 30174430 42244202 105610505 211221010