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2021022221000 = 2353101157127453
BaseRepresentation
bin11101011010001110010…
…011111100001011001000
321011012121111212022210212
4131122032103330023020
5231103023142033000
64144240024100252
7266004546302066
oct35321623741310
97135544768725
102021022221000
1170a1243a0652
12287830304688
131187739594b3
146db64829036
1537888868c35
hex1d68e4fc2c8

2021022221000 has 128 divisors (see below), whose sum is σ = 4806473873760. Its totient is φ = 795300480000.

The previous prime is 2021022220991. The next prime is 2021022221021. The reversal of 2021022221000 is 1222201202.

It can be written as a sum of positive squares in 16 ways, for example, as 251648709316 + 1769373511684 = 501646^2 + 1330178^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15793274 + ... + 15920726.

Almost surely, 22021022221000 is an apocalyptic number.

2021022221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021022221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403236936880).

2021022221000 is an abundant number, since it is smaller than the sum of its proper divisors (2785451652760).

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

2021022221000 is a wasteful number, since it uses less digits than its factorization.

2021022221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127732 (or 127718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2021022221000 its reverse (1222201202), we get a palindrome (2022244422202).

The spelling of 2021022221000 in words is "two trillion, twenty-one billion, twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 157 200 202 250 314 404 500 505 628 785 808 1000 1010 1256 1570 2020 2525 3140 3925 4040 5050 6280 7850 10100 12625 15700 15857 19625 20200 25250 31400 31714 39250 50500 63428 78500 79285 101000 126856 127453 157000 158570 254906 317140 396425 509812 634280 637265 792850 1019624 1274530 1585700 1982125 2549060 3171400 3186325 3964250 5098120 6372650 7928500 12745300 12872753 15857000 15931625 20010121 25490600 25745506 31863250 40020242 51491012 63726500 64363765 80040484 100050605 102982024 127453000 128727530 160080968 200101210 257455060 321818825 400202420 500253025 514910120 643637650 800404840 1000506050 1287275300 1609094125 2001012100 2021022221 2501265125 2574550600 3218188250 4002024200 4042044442 5002530250 6436376500 8084088884 10005060500 10105111105 12872753000 16168177768 20010121000 20210222210 40420444420 50525555525 80840888840 101051111050 202102222100 252627777625 404204444200 505255555250 1010511110500 2021022221000