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2211201220000 = 2554176503533
BaseRepresentation
bin100000001011010101110…
…111001111110110100000
321211101111102012110122111
4200023111313033312200
5242212020003020000
64411451204045104
7315516425153113
oct40132567176640
97741442173574
102211201220000
117828464963a3
122b8666993794
131306913a1576
147904646057a
153c7b99dbcba
hex202d5dcfda0

2211201220000 has 120 divisors (see below), whose sum is σ = 5759880901236. Its totient is φ = 832452096000.

The previous prime is 2211201219979. The next prime is 2211201220009. The reversal of 2211201220000 is 221021122.

It is a happy number.

2211201220000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 316955488144 + 1894245731856 = 562988^2 + 1376316^2 .

It is not an unprimeable number, because it can be changed into a prime (2211201220009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2911767 + ... + 3591766.

Almost surely, 22211201220000 is an apocalyptic number.

2211201220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211201220000 is an abundant number, since it is smaller than the sum of its proper divisors (3548679681236).

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

2211201220000 is an equidigital number, since it uses as much as digits as its factorization.

2211201220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503580 (or 6503557 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2211201220000 its reverse (221021122), we get a palindrome (2211422241122).

The spelling of 2211201220000 in words is "two trillion, two hundred eleven billion, two hundred one million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3400 4000 4250 5000 6800 8500 10000 10625 13600 17000 20000 21250 34000 42500 68000 85000 170000 340000 6503533 13007066 26014132 32517665 52028264 65035330 104056528 110560061 130070660 162588325 208113056 221120122 260141320 325176650 442240244 520282640 552800305 650353300 812941625 884480488 1040565280 1105600610 1300706600 1625883250 1768960976 2211201220 2601413200 2764001525 3251766500 3537921952 4064708125 4422402440 5202826400 5528003050 6503533000 8129416250 8844804880 11056006100 13007066000 13820007625 16258832500 17689609760 22112012200 26014132000 27640015250 32517665000 44224024400 55280030500 65035330000 69100038125 88448048800 110560061000 130070660000 138200076250 221120122000 276400152500 442240244000 552800305000 1105600610000 2211201220000