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2021114322 = 2331912715511
BaseRepresentation
bin111100001110111…
…1100000111010010
312012212002020122000
41320131330013102
513114401124242
6532315254430
7101041121403
oct17035740722
95185066560
102021114322
11947959117
12484a4a416
1326295aa46
141525d39aa
15bc683a4c
hex7877c1d2

2021114322 has 64 divisors (see below), whose sum is σ = 4765286400. Its totient is φ = 633180240.

The previous prime is 2021114299. The next prime is 2021114323. The reversal of 2021114322 is 2234111202.

It is a happy number.

2021114322 is a `hidden beast` number, since 20 + 211 + 1 + 432 + 2 = 666.

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 = 2021114295 and 2021114304.

It is not an unprimeable number, because it can be changed into a prime (2021114323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122547 + ... + 138057.

It is an arithmetic number, because the mean of its divisors is an integer number (74457600).

Almost surely, 22021114322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021114322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2382643200).

2021114322 is an abundant number, since it is smaller than the sum of its proper divisors (2744172078).

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

2021114322 is a wasteful number, since it uses less digits than its factorization.

2021114322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15668 (or 15662 counting only the distinct ones).

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

The square root of 2021114322 is about 44956.8050688658. The cubic root of 2021114322 is about 1264.3392680233.

Adding to 2021114322 its reverse (2234111202), we get a palindrome (4255225524).

The spelling of 2021114322 in words is "two billion, twenty-one million, one hundred fourteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 127 171 254 342 381 513 762 1026 1143 2286 2413 3429 4826 6858 7239 14478 15511 21717 31022 43434 46533 65151 93066 130302 139599 279198 294709 418797 589418 837594 884127 1768254 1969897 2652381 3939794 5304762 5909691 7957143 11819382 15914286 17729073 35458146 37428043 53187219 74856086 106374438 112284129 224568258 336852387 673704774 1010557161 2021114322