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2021313221130 = 235719959818087
BaseRepresentation
bin11101011010011111101…
…010000001001000001010
321011020100210102122221110
4131122133222001020022
5231104122141034010
64144324541151150
7266015011616010
oct35323752011012
97136323378843
102021313221130
1170a263688325
122878b185b4b6
131187bc025a18
146db913388b0
15378a419b120
hex1d69fa8120a

2021313221130 has 128 divisors (see below), whose sum is σ = 5573654323200. Its totient is φ = 459559077120.

The previous prime is 2021313221107. The next prime is 2021313221131. The reversal of 2021313221130 is 311223131202.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2021313221097 and 2021313221106.

It is not an unprimeable number, because it can be changed into a prime (2021313221131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 249941947 + ... + 249950033.

It is an arithmetic number, because the mean of its divisors is an integer number (43544174400).

Almost surely, 22021313221130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021313221130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786827161600).

2021313221130 is an abundant number, since it is smaller than the sum of its proper divisors (3552341102070).

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

2021313221130 is a wasteful number, since it uses less digits than its factorization.

2021313221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14284.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2021313221130 its reverse (311223131202), we get a palindrome (2332536352332).

The spelling of 2021313221130 in words is "two trillion, twenty-one billion, three hundred thirteen million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 199 210 398 597 995 1194 1393 1990 2786 2985 4179 5970 5981 6965 8087 8358 11962 13930 16174 17943 20895 24261 29905 35886 40435 41790 41867 48522 56609 59810 80870 83734 89715 113218 121305 125601 169827 179430 209335 242610 251202 283045 339654 418670 566090 628005 849135 1190219 1256010 1609313 1698270 2380438 3218626 3570657 4827939 5951095 7141314 8046565 8331533 9655878 11265191 11902190 16093130 16663066 17853285 22530382 24139695 24994599 33795573 35706570 41657665 48279390 48368347 49989198 56325955 67591146 83315330 96736694 112651910 124972995 145105041 168977865 241841735 249945990 290210082 337955730 338578429 483683470 677156858 725525205 1015735287 1451050410 1692892145 2031470574 3385784290 5078676435 9625301053 10157352870 19250602106 28875903159 48126505265 57751806318 67377107371 96253010530 134754214742 144379515795 202131322113 288759031590 336885536855 404262644226 673771073710 1010656610565 2021313221130