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2021012020 = 22517101229257
BaseRepresentation
bin111100001110110…
…0011001000110100
312012211220001022001
41320131203020310
513114334341040
6532313145044
7101040214216
oct17035431064
95184801261
102021012020
11947899275
124849bb184
13262923301
141525a85b6
15bc66359a
hex78763234

2021012020 has 96 divisors (see below), whose sum is σ = 4575826080. Its totient is φ = 747110400.

The previous prime is 2021012009. The next prime is 2021012033. The reversal of 2021012020 is 202101202.

It can be written as a sum of positive squares in 16 ways, for example, as 583995556 + 1437016464 = 24166^2 + 37908^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2021011988 and 2021012006.

It is a congruent number.

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, 7863732 + ... + 7863988.

It is an arithmetic number, because the mean of its divisors is an integer number (47664855).

Almost surely, 22021012020 is an apocalyptic number.

2021012020 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 2021012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2287913040).

2021012020 is an abundant number, since it is smaller than the sum of its proper divisors (2554814060).

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

2021012020 is a wasteful number, since it uses less digits than its factorization.

2021012020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2021012020 is about 44955.6672734373. The cubic root of 2021012020 is about 1264.3179354648.

2021012020 divided by its sum of digits (10) gives a palindrome (202101202).

Adding to 2021012020 its reverse (202101202), we get a palindrome (2223113222).

The spelling of 2021012020 in words is "two billion, twenty-one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 229 257 340 404 458 505 514 916 1010 1028 1145 1285 1717 2020 2290 2570 3434 3893 4369 4580 5140 6868 7786 8585 8738 15572 17170 17476 19465 21845 23129 25957 34340 38930 43690 46258 51914 58853 77860 87380 92516 103828 115645 117706 129785 231290 235412 259570 294265 393193 441269 462580 519140 588530 786386 882538 1000501 1177060 1572772 1765076 1965965 2001002 2206345 3931930 4002004 4412690 5002505 5944153 7863860 8825380 10005010 11888306 20010020 23776612 29720765 59441530 101050601 118883060 202101202 404202404 505253005 1010506010 2021012020