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2211100212020 = 225759565947303
BaseRepresentation
bin100000001011001111110…
…101111011101100110100
321211101020101010201202012
4200023033311323230310
5242211313123241040
64411433155103352
7315514060462160
oct40131765735464
97741211121665
102211100212020
117827a4476627
122b8638ba1b58
1313067649702b
1479036c89ca0
153c7b0bd8865
hex202cfd7bb34

2211100212020 has 96 divisors (see below), whose sum is σ = 5397651302400. Its totient is φ = 745095049344.

The previous prime is 2211100212017. The next prime is 2211100212077. The reversal of 2211100212020 is 202120011122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 2211100211986 and 2211100212004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46719689 + ... + 46766991.

It is an arithmetic number, because the mean of its divisors is an integer number (56225534400).

Almost surely, 22211100212020 is an apocalyptic number.

2211100212020 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 2211100212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698825651200).

2211100212020 is an abundant number, since it is smaller than the sum of its proper divisors (3186551090380).

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

2211100212020 is a wasteful number, since it uses less digits than its factorization.

2211100212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53037 (or 53035 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2211100212020 its reverse (202120011122), we get a palindrome (2413220223142).

The spelling of 2211100212020 in words is "two trillion, two hundred eleven billion, one hundred million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 59 70 118 140 236 295 413 590 826 1180 1652 2065 4130 5659 8260 11318 22636 28295 39613 47303 56590 79226 94606 113180 158452 189212 198065 236515 331121 333881 396130 473030 662242 667762 792260 946060 1324484 1335524 1655605 1669405 2337167 2790877 3311210 3338810 4674334 5581754 6622420 6677620 9348668 11163508 11685835 13954385 19536139 23371670 27908770 39072278 46743340 55817540 78144556 97680695 195361390 267687677 390722780 535375354 1070750708 1338438385 1873813739 2676876770 3747627478 5353753540 7495254956 9369068695 15793572943 18738137390 31587145886 37476274780 63174291772 78967864715 110555010601 157935729430 221110021202 315871458860 442220042404 552775053005 1105550106010 2211100212020