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2021113332 = 2232773181607
BaseRepresentation
bin111100001110111…
…1011110111110100
312012212002012021100
41320131323313310
513114401111312
6532315250100
7101041115460
oct17035736764
95185065240
102021113332
119479583a7
12484a49930
1326295a464
141525d34a0
15bc6835dc
hex7877bdf4

2021113332 has 144 divisors (see below), whose sum is σ = 5961260032. Its totient is φ = 565470720.

The previous prime is 2021113291. The next prime is 2021113333. The reversal of 2021113332 is 2333111202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2021113333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3329373 + ... + 3329979.

Almost surely, 22021113332 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 2021113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2980630016).

2021113332 is an abundant number, since it is smaller than the sum of its proper divisors (3940146700).

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

2021113332 is a wasteful number, since it uses less digits than its factorization.

2021113332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2021113332 is about 44956.7940582956. The cubic root of 2021113332 is about 1264.3390615867.

Adding to 2021113332 its reverse (2333111202), we get a palindrome (4354224534).

The spelling of 2021113332 in words is "two billion, twenty-one million, one hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 73 84 126 146 181 219 252 292 362 438 511 543 607 657 724 876 1022 1086 1214 1267 1314 1533 1629 1821 2044 2172 2428 2534 2628 3066 3258 3642 3801 4249 4599 5068 5463 6132 6516 7284 7602 8498 9198 10926 11403 12747 13213 15204 16996 18396 21852 22806 25494 26426 38241 39639 44311 45612 50988 52852 76482 79278 88622 92491 109867 118917 132933 152964 158556 177244 184982 219734 237834 265866 277473 310177 329601 369964 398799 439468 475668 531732 554946 620354 659202 769069 797598 832419 930531 988803 1109892 1240708 1318404 1538138 1595196 1664838 1861062 1977606 2307207 2791593 3076276 3329676 3722124 3955212 4614414 5583186 6921621 8020291 9228828 11166372 13843242 16040582 24060873 27686484 32081164 48121746 56142037 72182619 96243492 112284074 144365238 168426111 224568148 288730476 336852222 505278333 673704444 1010556666 2021113332