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2020002102100 = 2252294671491547
BaseRepresentation
bin11101011001010001100…
…000011111101101010100
321011002222102022220202101
4131121101200133231110
5231043431014231400
64143550503251444
7265640351365363
oct35312140375524
97132872286671
102020002102100
11709750586184
122875a6749b84
131186404c6a48
146daa91617da
153782901156a
hex1d65181fb54

2020002102100 has 72 divisors (see below), whose sum is σ = 4544269460640. Its totient is φ = 778467688320.

The previous prime is 2020002102091. The next prime is 2020002102149. The reversal of 2020002102100 is 12012000202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 608527 + ... + 2100073.

It is an arithmetic number, because the mean of its divisors is an integer number (63114853620).

Almost surely, 22020002102100 is an apocalyptic number.

2020002102100 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 2020002102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2272134730320).

2020002102100 is an abundant number, since it is smaller than the sum of its proper divisors (2524267358540).

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

2020002102100 is a wasteful number, since it uses less digits than its factorization.

2020002102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492057 (or 1492050 counting only the distinct ones).

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

Adding to 2020002102100 its reverse (12012000202), we get a palindrome (2032014102302).

The spelling of 2020002102100 in words is "two trillion, twenty billion, two million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 467 580 725 934 1450 1868 2335 2900 4670 9340 11675 13543 23350 27086 46700 54172 67715 135430 270860 338575 677150 1354300 1491547 2983094 5966188 7457735 14915470 29830940 37288675 43254863 74577350 86509726 149154700 173019452 216274315 432548630 696552449 865097260 1081371575 1393104898 2162743150 2786209796 3482762245 4325486300 6965524490 13931048980 17413811225 20200021021 34827622450 40400042042 69655244900 80800084084 101000105105 202000210210 404000420420 505000525525 1010001051050 2020002102100