Search a number
-
+
2021211324 = 22321138913121
BaseRepresentation
bin111100001111001…
…0011110010111100
312012212021011200200
41320132103302330
513114412230244
6532321323500
7101042004246
oct17036236274
95185234620
102021211324
11947a14a90
12484a96590
13262992c42
1415261b096
15bc6a2669
hex78793cbc

2021211324 has 72 divisors (see below), whose sum is σ = 5588397360. Its totient is φ = 610867200.

The previous prime is 2021211323. The next prime is 2021211331. The reversal of 2021211324 is 4231121202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2021211297 and 2021211306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021211323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147484 + ... + 160604.

It is an arithmetic number, because the mean of its divisors is an integer number (77616630).

Almost surely, 22021211324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021211324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2794198680).

2021211324 is an abundant number, since it is smaller than the sum of its proper divisors (3567186036).

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

2021211324 is a wasteful number, since it uses less digits than its factorization.

2021211324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13531 (or 13526 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2021211324 is about 44957.8838914823. The cubic root of 2021211324 is about 1264.3594947326.

Adding to 2021211324 its reverse (4231121202), we get a palindrome (6252332526).

The spelling of 2021211324 in words is "two billion, twenty-one million, two hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 389 396 778 1167 1556 2334 3501 4279 4668 7002 8558 12837 13121 14004 17116 25674 26242 38511 39363 51348 52484 77022 78726 118089 144331 154044 157452 236178 288662 432993 472356 577324 865986 1298979 1731972 2597958 5104069 5195916 10208138 15312207 20416276 30624414 45936621 56144759 61248828 91873242 112289518 168434277 183746484 224579036 336868554 505302831 673737108 1010605662 2021211324