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11003202020000 = 25542833194197
BaseRepresentation
bin1010000000011110000111…
…1100101010001010100000
31102221220012001211010222202
42200013201330222022200
52420234024204120000
635222445021552332
72213645413665521
oct240074174521240
942856161733882
1011003202020000
113562482761a33
1212985b21156a8
1361a79c91c148
142a07b4928848
15141342855dd5
hexa01e1f2a2a0

11003202020000 has 120 divisors (see below), whose sum is σ = 27079221965796. Its totient is φ = 4399704576000.

The previous prime is 11003202019981. The next prime is 11003202020081. The reversal of 11003202020000 is 2020230011.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 929967065104 + 10073234954896 = 964348^2 + 3173836^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56562902 + ... + 56757098.

Almost surely, 211003202020000 is an apocalyptic number.

11003202020000 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 11003202020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13539610982898).

11003202020000 is an abundant number, since it is smaller than the sum of its proper divisors (16076019945796).

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

11003202020000 is an equidigital number, since it uses as much as digits as its factorization.

11003202020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197060 (or 197037 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 11003202020000 its reverse (2020230011), we get a palindrome (11005222250011).

The spelling of 11003202020000 in words is "eleven trillion, three billion, two hundred two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 2833 4000 5000 5666 10000 11332 14165 20000 22664 28330 45328 56660 70825 90656 113320 141650 194197 226640 283300 354125 388394 453280 566600 708250 776788 970985 1133200 1416500 1553576 1770625 1941970 2266400 2833000 3107152 3541250 3883940 4854925 5666000 6214304 7082500 7767880 9709850 11332000 14165000 15535760 19419700 24274625 28330000 31071520 38839400 48549250 56660000 77678800 97098500 121373125 155357600 194197000 242746250 388394000 485492500 550160101 776788000 970985000 1100320202 1941970000 2200640404 2750800505 3883940000 4401280808 5501601010 8802561616 11003202020 13754002525 17605123232 22006404040 27508005050 44012808080 55016010100 68770012625 88025616160 110032020200 137540025250 220064040400 275080050500 343850063125 440128080800 550160101000 687700126250 1100320202000 1375400252500 2200640404000 2750800505000 5501601010000 11003202020000