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2102414204220 = 22351110131539367
BaseRepresentation
bin11110100110000001101…
…001101101110100111100
321102222200212020110210220
4132212001221231310330
5233421221014013340
64245500304501340
7304615532606601
oct36460151556474
97388625213726
102102414204220
117406a1010290
1229b56631a850
13123345293b05
1473a863ca6a8
1539a4e146ed0
hex1e981a6dd3c

2102414204220 has 96 divisors (see below), whose sum is σ = 6485503320576. Its totient is φ = 504629856000.

The previous prime is 2102414204213. The next prime is 2102414204251. The reversal of 2102414204220 is 224024142012.

It is a happy number.

It is a super-2 number, since 2×21024142042202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 15703024 + ... + 15836343.

It is an arithmetic number, because the mean of its divisors is an integer number (67557326256).

Almost surely, 22102414204220 is an apocalyptic number.

2102414204220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102414204220 is an abundant number, since it is smaller than the sum of its proper divisors (4383089116356).

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

2102414204220 is a wasteful number, since it uses less digits than its factorization.

2102414204220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31539491 (or 31539489 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2102414204220 its reverse (224024142012), we get a palindrome (2326438346232).

The spelling of 2102414204220 in words is "two trillion, one hundred two billion, four hundred fourteen million, two hundred four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 31539367 63078734 94618101 126157468 157696835 189236202 315393670 346933037 378472404 473090505 630787340 693866074 946181010 1040799111 1387732148 1734665185 1892362020 2081598222 3185476067 3469330370 4163196444 5203995555 6370952134 6938660740 9556428201 10407991110 12741904268 15927380335 19112856402 20815982220 31854760670 35040236737 38225712804 47782141005 63709521340 70080473474 95564282010 105120710211 140160946948 175201183685 191128564020 210241420422 350402367370 420482840844 525603551055 700804734740 1051207102110 2102414204220