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2021202011100 = 22352101355918743
BaseRepresentation
bin11101011010011001000…
…001110010001111011100
321011020002001011121110110
4131122121001302033130
5231103410203323400
64144305525410020
7266012161424346
oct35323101621734
97136061147413
102021202011100
1170a20692a608
12287880569910
131187a1c8897c
146db8066a296
153789952ee50
hex1d6990723dc

2021202011100 has 144 divisors (see below), whose sum is σ = 5907886871040. Its totient is φ = 533472288000.

The previous prime is 2021202011041. The next prime is 2021202011111. The reversal of 2021202011100 is 11102021202.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107828329 + ... + 107847071.

It is an arithmetic number, because the mean of its divisors is an integer number (41026992160).

Almost surely, 22021202011100 is an apocalyptic number.

2021202011100 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 2021202011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953943435520).

2021202011100 is an abundant number, since it is smaller than the sum of its proper divisors (3886684859940).

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

2021202011100 is a wasteful number, since it uses less digits than its factorization.

2021202011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22420 (or 22413 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2021202011100 its reverse (11102021202), we get a palindrome (2032304032302).

The spelling of 2021202011100 in words is "two trillion, twenty-one billion, two hundred two million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 3559 5050 6060 7118 7575 10100 10677 14236 15150 17795 18743 21354 30300 35590 37486 42708 53385 56229 71180 74972 88975 93715 106770 112458 177950 187430 213540 224916 266925 281145 355900 359459 374860 468575 533850 562290 718918 937150 1067700 1078377 1124580 1405725 1437836 1797295 1874300 1893043 2156754 2811450 3594590 3786086 4313508 5391885 5622900 5679129 7189180 7572172 8986475 9465215 10783770 11358258 17972950 18930430 21567540 22716516 26959425 28395645 35945900 37860860 47326075 53918850 56791290 66706337 94652150 107837700 113582580 133412674 141978225 189304300 200119011 266825348 283956450 333531685 400238022 567912900 667063370 800476044 1000595055 1334126740 1667658425 2001190110 3335316850 4002380220 5002975275 6670633700 6737340037 10005950550 13474680074 20011901100 20212020111 26949360148 33686700185 40424040222 67373400370 80848080444 101060100555 134746800740 168433500925 202120201110 336867001850 404240402220 505300502775 673734003700 1010601005550 2021202011100