Search a number
-
+
2021021002020 = 2235291801644923
BaseRepresentation
bin11101011010001110001…
…111010010100100100100
321011012121102120101200110
4131122032033102210210
5231103022334031040
64144235542013020
7266004533034156
oct35321617224444
97135542511613
102021021002020
1170a123738829
1228782ba17170
131187736206c7
146db645ccad6
15378886c7980
hex1d68e3d2924

2021021002020 has 96 divisors (see below), whose sum is σ = 5857251361920. Its totient is φ = 520065100800.

The previous prime is 2021021001953. The next prime is 2021021002129. The reversal of 2021021002020 is 202001201202.

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 = 2021021001987 and 2021021002005.

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, 2811279 + ... + 3456201.

It is an arithmetic number, because the mean of its divisors is an integer number (61013035020).

Almost surely, 22021021002020 is an apocalyptic number.

2021021002020 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 2021021002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2928625680960).

2021021002020 is an abundant number, since it is smaller than the sum of its proper divisors (3836230359900).

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

2021021002020 is a wasteful number, since it uses less digits than its factorization.

2021021002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646765 (or 646763 counting only the distinct ones).

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

Adding to 2021021002020 its reverse (202001201202), we get a palindrome (2223022203222).

The spelling of 2021021002020 in words is "two trillion, twenty-one billion, twenty-one million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1740 1801 3602 5403 7204 9005 10806 18010 21612 27015 36020 52229 54030 104458 108060 156687 208916 261145 313374 522290 626748 644923 783435 1044580 1289846 1566870 1934769 2579692 3133740 3224615 3869538 6449230 7739076 9673845 12898460 18702767 19347690 37405534 38695380 56108301 74811068 93513835 112216602 187027670 224433204 280541505 374055340 561083010 1122166020 1161506323 2323012646 3484518969 4646025292 5807531615 6969037938 11615063230 13938075876 17422594845 23230126460 33683683367 34845189690 67367366734 69690379380 101051050101 134734733468 168418416835 202102100202 336836833670 404204200404 505255250505 673673667340 1010510501010 2021021002020