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11220020222000 = 2453181166718593
BaseRepresentation
bin1010001101000101110101…
…0100011101100000110000
31110201121211111112000102112
42203101131110131200300
52432312100134101000
635510223420304452
72235422363206442
oct243213524354060
943647744460375
1011220020222000
113636424a01227
1213126220a2128
1363507437b325
142ab0a24c4492
15146cd2541235
hexa345d51d830

11220020222000 has 160 divisors (see below), whose sum is σ = 27297731208384. Its totient is φ = 4460295168000.

The previous prime is 11220020221987. The next prime is 11220020222003. The reversal of 11220020222000 is 22202002211.

It is not an unprimeable number, because it can be changed into a prime (11220020222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603444704 + ... + 603463296.

Almost surely, 211220020222000 is an apocalyptic number.

11220020222000 is a gapful number since it is divisible by the number (10) 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 11220020222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13648865604192).

11220020222000 is an abundant number, since it is smaller than the sum of its proper divisors (16077710986384).

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

11220020222000 is a wasteful number, since it uses less digits than its factorization.

11220020222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20464 (or 20448 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 11220020222000 its reverse (22202002211), we get a palindrome (11242222224211).

The spelling of 11220020222000 in words is "eleven trillion, two hundred twenty billion, twenty million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 181 200 250 362 400 500 724 905 1000 1448 1667 1810 2000 2896 3334 3620 4525 6668 7240 8335 9050 13336 14480 16670 18100 18593 22625 26672 33340 36200 37186 41675 45250 66680 72400 74372 83350 90500 92965 133360 148744 166700 181000 185930 208375 297488 301727 333400 362000 371860 416750 464825 603454 666800 743720 833500 929650 1206908 1487440 1508635 1667000 1859300 2324125 2413816 3017270 3334000 3365333 3718600 4648250 4827632 6034540 6730666 7437200 7543175 9296500 12069080 13461332 15086350 16826665 18593000 24138160 26922664 30172700 30994531 33653330 37186000 37715875 53845328 60345400 61989062 67306660 75431750 84133325 120690800 123978124 134613320 150863500 154972655 168266650 247956248 269226640 301727000 309945310 336533300 420666625 495912496 603454000 619890620 673066600 774863275 841333250 1239781240 1346133200 1549726550 1682666500 2479562480 3099453100 3365333000 3874316375 5610010111 6198906200 6730666000 7748632750 11220020222 12397812400 15497265500 22440040444 28050050555 30994531000 44880080888 56100101110 61989062000 89760161776 112200202220 140250252775 224400404440 280500505550 448800808880 561001011100 701251263875 1122002022200 1402502527750 2244004044400 2805005055500 5610010111000 11220020222000