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2001421020 = 2235373732417
BaseRepresentation
bin111011101001011…
…0100001011011100
312011111000201111110
41313102310023130
513044330433040
6530333222020
7100411540464
oct16722641334
95144021443
102001421020
11937828265
1247a331910
1325b8540c1
1414db48ba4
15baa93980
hex774b42dc

2001421020 has 96 divisors (see below), whose sum is σ = 5773255488. Its totient is φ = 517681152.

The previous prime is 2001421007. The next prime is 2001421021. The reversal of 2001421020 is 201241002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2001420987 and 2001421005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001421021) 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, 826852 + ... + 829268.

It is an arithmetic number, because the mean of its divisors is an integer number (60138078).

Almost surely, 22001421020 is an apocalyptic number.

2001421020 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 2001421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886627744).

2001421020 is an abundant number, since it is smaller than the sum of its proper divisors (3771834468).

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

2001421020 is a wasteful number, since it uses less digits than its factorization.

2001421020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2839 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2001421020 is about 44737.2442155303. The cubic root of 2001421020 is about 1260.2193747535.

Adding to 2001421020 its reverse (201241002), we get a palindrome (2202662022).

The spelling of 2001421020 in words is "two billion, one million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 373 444 555 740 746 1110 1119 1492 1865 2220 2238 2417 3730 4476 4834 5595 7251 7460 9668 11190 12085 13801 14502 22380 24170 27602 29004 36255 41403 48340 55204 69005 72510 82806 89429 138010 145020 165612 178858 207015 268287 276020 357716 414030 447145 536574 828060 894290 901541 1073148 1341435 1788580 1803082 2682870 2704623 3606164 4507705 5365740 5409246 9015410 10818492 13523115 18030820 27046230 33357017 54092460 66714034 100071051 133428068 166785085 200142102 333570170 400284204 500355255 667140340 1000710510 2001421020